{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 一、参数更新\n",
    "\n",
    "神经网络的目的是找到使损失函数最小的参数，即寻找最优参数（最优解）的问题。但在许多神经网络中，寻找最优参数是非常困难的，原因有两个：参数空间非常庞大、参数量很大。\n",
    "\n",
    "在之前的神经网络中，我们都使用的是SGD（随机梯度下降法）作为线索来寻找最优解，这是最简单的方法，但它也存在一定的局限性，接下来就来看看SGD的局限性和一些比它更优的方法。\n",
    "\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1SGD\n",
    "\n",
    "现在再来回顾一下之前讲的SGD原理，SGD用公式表示如下：\n",
    "\n",
    "![image-20230401200243740](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230401200243740.png)\n",
    "\n",
    "接下来将SGD封装成一个类，用于更新模型的参数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:39.581551Z",
     "start_time": "2023-04-08T19:22:39.376165Z"
    }
   },
   "outputs": [],
   "source": [
    "class SGD:\n",
    "    def __init__(self, lr) -> None:\n",
    "        self.lr = lr\n",
    "\n",
    "    def update(self, params, grads):  # python中list和dict做形参原数据都会被改变\n",
    "        for key in params.keys():\n",
    "            params[key] -= self.lr * grads[key]\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如果在训练代码中想要更新参数，就可以：\n",
    "\n",
    "```py\n",
    "optimizer = SGD()\n",
    "```\n",
    "\n",
    "然后调用SGD中的`update()`方法，就能轻松更新参数。同样的，如果把SGD替换成别的参数更新方法，比如Momentum，直接在创建对象的时候写成：\n",
    "\n",
    "```py\n",
    "optimizer = Momentum()\n",
    "```\n",
    "\n",
    "使用和修改起来非常方便，这就是模块化的好处。像这样，每个模块中都的各种方法都封装好了，就是一个深度学习框架（比如：损失函数模块里封装了各种求损失函数的方法，激活函数模块中封装了各种求激活函数的方法...最后使用的时候直接像拼积木一样，想用哪个方法就到对应的模块中找，然后拼起来就完成一个神经网络的搭建和计算，大大节省时间）"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2SGD的缺点\n",
    "\n",
    "SGD简单归简单，但是在实现某些问题的时候会显得没有效率。\n",
    "\n",
    "用一个例子来说明，求下面这个函数的最小值：\n",
    "\n",
    "![image-20230401210028823](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230401210028823.png)\n",
    "\n",
    "先来看一看这个函数的图像是什么样子的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.168480Z",
     "start_time": "2023-04-08T19:22:39.388577Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "#设置图像为三维格式\n",
    "figure = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "#确定输入范围\n",
    "X = np.arange(-50, 50, 0.1)\n",
    "Y = np.arange(-10, 10, 0.1)\n",
    "\n",
    "#绘制网格\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "\n",
    "#确定表达式\n",
    "Z = 1 / 20 * X ** 2 + Y ** 2\n",
    "\n",
    "#画图\n",
    "ax.plot_surface(X, Y, Z, cmap='rainbow')\n",
    "plt.show()\n",
    "plt.contour(X, Y, Z)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.334628Z",
     "start_time": "2023-04-08T19:22:40.167480Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# define the function\n",
    "def func(x, y):\n",
    "    return 1 / 20 * x ** 2 + y ** 2\n",
    "\n",
    "\n",
    "# define gradient function\n",
    "def gradient(x, y):\n",
    "    return np.gradient(func(x, y))\n",
    "\n",
    "\n",
    "# generate the input\n",
    "x = np.linspace(-50, 50, 20)\n",
    "y = np.linspace(-10, 10, 20)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "\n",
    "# calculate the gradient\n",
    "Gy, Gx = gradient(X, Y)\n",
    "\n",
    "# plot the gradient graph\n",
    "plt.quiver(X, Y, -Gx, -Gy)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解释一下上述代码中的`np.gradient`函数，这个函数的作用是求给定的数组的各个位置上的梯度，返回值是每个每个参数在各个位置上梯度的分量大小。\n",
    "\n",
    "比如，先看一维数组，一维数组对应的就是一元函数，现有一维数组`a=[10,  0,  7,  0, 19]`，要求每个位置上的梯度，使用中心差分，即对`a[k]`求梯度，就是求`(a[k+1]-a[k-1])/(2*1)`。特殊的，两个端点，直接用后面减去前面即可。例如：`d(a[0])=0-10=-10`，`d(a[1])=(7-10)/2=-1.5`，...，所以最后输出为`da=[-10. ,  -1.5,   0. ,   6. ,  19. ]`\n",
    "\n",
    "再看二维数组，二维数组对应二元函数，两个维度分别对应$xy$两个自变量的取值，对二维数组求梯度，与一维数组方法基本一致，假设$y$是纵轴，$x$是横轴，对$x$求梯度，就是对每一行按照一维数组的求法求解；对$y$求梯度，就是对每一列从上往下按照一维数组的方法求。例如：\n",
    "\n",
    "```py\n",
    "a = np.array([[25, 49, 14, 13, 20],\n",
    "              [43,  6, 13, 15, 24],\n",
    "              [ 9,  2,  7,  5, 36]])\n",
    "Dy,Dx = np.gradient(a)\n",
    "```\n",
    "\n",
    "有几个自变量就返回几个同型数组，对于二维数组，`np.gradient`函数第一维返回的是纵向求梯度的结果，即返回对$y$的梯度，第二维返回的是对$x$求梯度的结果，即\n",
    "\n",
    "```py\n",
    "[array([[ 18. , -43. ,  -1. ,   2. ,   4. ],\n",
    "        [ -8. , -23.5,  -3.5,  -4. ,   8. ],\n",
    "        [-34. ,  -4. ,  -6. , -10. ,  12. ]]),\n",
    " array([[ 24. ,  -5.5, -18. ,   3. ,   7. ],\n",
    "        [-37. , -15. ,   4.5,   5.5,   9. ],\n",
    "        [ -7. ,  -1. ,   1.5,  14.5,  31. ]])]\n",
    "```\n",
    "\n",
    "之后看一下上述代码中的`quiver`函数，该函数用来画箭头，第1、2参数是就是每个箭头的起点（$xy$取值），第3、4参数是箭头的方向（梯度），又因为梯度是变化最快的方向，按照上述的中心差分求法，求出来的都是指向变大的方向，若要指向变小的方向，取个反就行了。\n",
    "\n",
    "比如：\n",
    "\n",
    "```py\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x=np.linspace(-10,10,10)\n",
    "y=-x**2\n",
    "\n",
    "grad=np.gradient(y)\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.quiver(x,y,grad,np.zeros(x.size))\n",
    "plt.show()\n",
    "```\n",
    "\n",
    "![Figure_1](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/Figure_1.png)\n",
    "\n",
    "```py\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x=np.linspace(-10,10,10)\n",
    "y=x**2\n",
    "\n",
    "grad=np.gradient(y)\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.quiver(x,y,grad,np.zeros(x.size))\n",
    "plt.show()\n",
    "```\n",
    "![Figure_1](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/Figure_0.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "言归正传，对该函数使用SGD，得到的搜索路径如下：\n",
    "\n",
    "![image-20230403134126790](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403134126790.png)\n",
    "\n",
    "可以发现，对于碗状函数，按照这种搜索路径效率实在太低，根本原因是，将梯度作为搜索的线索，找的是某一点下降最快的方向，并没有指向最小值的方向（可以理解为局部最优解不一定能构成全局最优解）。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.3Momentum\n",
    "\n",
    "Momentum是**动量**的意思，用数学式表示Momentum方法更新参数的过程：\n",
    "\n",
    "![image-20230403134814847](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403134814847.png)\n",
    "\n",
    "在分析这个方法之前，再来看一下这张图：\n",
    "\n",
    "![image-20230403134126790](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403134126790.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为什么会导致参数的运动路线是像图中这样呈折线形的？\n",
    "\n",
    "原因就是把运动方向（梯度）分解成$xy$两个方向上的分量，在每个点处，x方向分量都是统一朝右的；但在y方向的分量，是正负交替的。这就使得梯度在y方向上的波动非常大，但整体是朝右前进的。为了减小梯度的波动，可以采用多种平滑算法，如：移动平均法、加权移动平均法、指数加权移动平均法。下面对这三种方法进行详细介绍：\n",
    "\n",
    "**（1）移动平均匀法**\n",
    "\n",
    "收集一组观察值，计算这组观察值的均值，利用这个均值作为下一期的预测值。在移动平均值的计算中包括的过去观察值的实际个数，必须一开始就明确规定。用公式表示如下：\n",
    "\n",
    "$$\n",
    "F_{t+1}=\\frac{(x_t+x_{t-1}+...+x_{t-N+1})}{N}\n",
    "$$\n",
    "\n",
    "其中，$x_k$表示第$k$次的实际值，$F_k$表示第$k$次预测值。\n",
    "\n",
    "![](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403205614598.png)\n",
    "\n",
    "**（2）加权移动平滑法**\n",
    "\n",
    "加权移动平均给固定跨越期限内的每个变量值以相等的权重。公式如下：\n",
    "\n",
    "$$\n",
    "F_t=w_1A_{t-1}+w_2A_{t-2}+...w_nA_{t-n}\n",
    "$$\n",
    "\n",
    "**（3）指数加权移动平均法**\n",
    "\n",
    "计算公式如下：\n",
    "\n",
    "$$\n",
    "V_{t+1}=\\beta x_t+(1-\\beta)\\theta_{t+1}\n",
    "$$\n",
    "\n",
    "由实际值计算得到预测值，最后再用预测值替换掉对应的实际值，所得的数据就能够实现平滑效果。\n",
    "\n",
    "**对指数加权平均法的进一步理解：**\n",
    "\n",
    "假设$\\beta=0.9$\n",
    "\n",
    "![image-20230403213445769](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403213445769.png)\n",
    "\n",
    "将各式代入第一个式子，可以得到![image-20230403213535493](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403213535493.png)\n",
    "\n",
    "即：**第$k$次的结果包含了前面所有的数据的信息，并且越近的数据占比越大**。\n",
    "\n",
    "接下来回到Momentum算法上来，观察算法的计算过程，可以发现\n",
    "\n",
    "![image-20230403134814847](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403134814847.png)\n",
    "\n",
    "和指数加权平均法的式子几乎完全一致，这里把$\\frac{\\partial L}{\\partial W}$换成$dW$可得，$V_k=\\alpha V_{k-1}-\\eta dW_k=-\\eta dW_k-\\eta \\alpha dW_{k-1}-...-\\eta \\alpha^{k-1}dW_1$。观察这个式子可以发现，如果$\\alpha =0$，那么就退化成SGD了，同时，也可以看到，更新值$V_k$由两个部分组成，最近一次的梯度$-\\eta dW_k$和后面一串尾巴$-\\eta \\alpha dW_{k-1}-...-\\eta \\alpha^{k-1}dW_1$，**$\\alpha$的取值，决定了过去的若干梯度（尾巴）重要程度**。\n",
    "\n",
    "在参数更新之前，先对梯度$dW$进行一次平滑处理，使能更快的到达最低点。\n",
    "\n",
    "![image-20230403224339168](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230403224339168.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.375909Z",
     "start_time": "2023-04-08T19:22:40.331628Z"
    }
   },
   "outputs": [],
   "source": [
    "class Momentum:\n",
    "    def __init__(self, lr=0.01, momentum=0.9) -> None:\n",
    "        self.lr = lr\n",
    "        self.momentum = momentum\n",
    "        self.V = None  # 保存上一次的预测值\n",
    "\n",
    "    def update(self, params, grads):\n",
    "        if self.V == None:\n",
    "            self.V = {}\n",
    "            for key, value in params.items():\n",
    "                self.V[key] = np.zeros_like(value)\n",
    "\n",
    "        for key in params.keys():\n",
    "            self.V[key] = self.momentum * self.V[key] - self.lr * grads[key]\n",
    "            params[key] += self.V[key]\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面测试一下直接用梯度和平滑后的梯度在参数更新路径上有什么不同：\n",
    "\n",
    "**（1）SGD**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.513582Z",
     "start_time": "2023-04-08T19:22:40.350671Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import sys,os\n",
    "\n",
    "current_file_path = os.path.dirname(os.path.realpath('__file__'))\n",
    "Demo_path = os.path.join(current_file_path, 'Demo')\n",
    "sys.path.append(Demo_path)\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from common.gradient import numerical_gradient_2d\n",
    "\n",
    "def func(W):\n",
    "    return 1 / 20 * W[0] ** 2 + W[1] ** 2\n",
    "\n",
    "iter_num=30\n",
    "\n",
    "optimizer=SGD(0.9)\n",
    "W=np.array([7.5, 2.5])\n",
    "grads={}\n",
    "params={}\n",
    "params['W']=W\n",
    "history_w1_=[]\n",
    "history_w2_=[]\n",
    "history_w1_.append(W[0])\n",
    "history_w2_.append(W[1])\n",
    "\n",
    "for i in range(iter_num):\n",
    "    #计算梯度\n",
    "    grads['W']=numerical_gradient_2d(func,W)\n",
    "    #更新参数\n",
    "    optimizer.update(params,grads)\n",
    "    #保存参数\n",
    "    history_w1_.append(W[0])\n",
    "    history_w2_.append(W[1])\n",
    "\n",
    "w1 = np.linspace(-10, 10, 30)\n",
    "w2 = np.linspace(-5, 5, 30)\n",
    "W1, W2 = np.meshgrid(w1, w2)\n",
    "Loss = 1 / 20 * W1 ** 2 + W2 ** 2\n",
    "plt.contour(W1, W2, Loss)\n",
    "plt.xlabel('W1')\n",
    "plt.ylabel('W2')\n",
    "plt.plot(history_w1_,history_w2_,'o')\n",
    "plt.plot(history_w1_,history_w2_,linewidth=1,color='red')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "**（2）Momentum**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.663793Z",
     "start_time": "2023-04-08T19:22:40.520769Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fSlAKUe9toN7b0O+6JpWRXEMuefpceWnIJU+fR4YufdS5SxPeKYrF+jR6m6Lip4mm6Lor5Br0Wma1+QTRIy+zdJmiq2sCIc/lFsQR8GIPerEHvNgDPlwhH86gH1fQhyvkj677o+u++Lor6MMTHrxb9WzRKFWDug1xJyJ6PLYecyF0UUdCq1JHnZCBXZDBnJAeB0WJSqlEiWLMdzVFJImQFCEUc8V6dRGeykHr7aQFIrIL54tEnbxwCF/U1fNFoq5dOOrancTlSxRapQpzVChZNLoB1nVYNPr4ulVjwKo1kKLRY9UasGj0wr2aQESkCO3+jh6hFBdNzXQEOgc9T6PQkGvIIVcvC6V8Qx65+lxy9NmolX2F+Ug5RRNSFL148K90q+1x5ycQCQxYPtZ/2qNu8+R1fQ5mjXmEay9IJBFJwhH00eX3xMWNIy5yvNiDvvi6I7oeOx6UIsNSB51SjbnXQ8ek1vVp4Rui66aoE2BQR1v98W153aTuOa4aZa0wwfARkSR84WAfpzD+Cvfd7lMmHMATkrfdIT/uUABX0Icz5McTGvheeLooIC6QUqKCqbdosmkMpGj1PWJKayBVa8SmNaBRCjd9PBGIBOQ4W29TH/Ohxdc86AAjJUqy9JnRZ28eeYZcUkM2ZubOEN1nieC1hn+hNfdMM6FSqMjWZ5Onj9l6sgDK0WcL12eM4g+H6Ap46PS76Qp46PJ7Btn20B2QX2fT5aRRqrD2eghYenVFmDXRlrVajym6z6Lpv64VDwPBaaBUKOKiOV1nGpZrhqUI7mAAZ8iHO9qNG1+PdvHGBJQr2NPl6wj44o0ETziIBHJDIugDTh5ucCIpGj02rZE0nZFUrZHU6DJNZxpw26TWjnkHcjyjVWopMhZSZCzssz8iRWjzt/USSnKISqO3KTpViuw40b0bgArV5BGp74QURYvSFlKeVRbv18zUZfSz6gSjD384RJvPSZvPRZvPSavPSbvfTbvPRYffTYffRWdU7Jxpi9es1mGLt2qjLdyo2Ond0rWe0Po1qDTixiwY86gUSlK0elK0+jO+RiASlruTo65qd2/XNejFEfBhD3rl/dH1mAsbQXZsHUEfx9yDd7v0RqNURUWSLJTSdWYydCYy9GYy9WYy9Ray9BYy9WbMap34nY4SlAol2dERbPOYG98vSRJdwe5ezpIslkoUxSNSrwnZfZZo+01wevjDIVp9Tlq9Ttr80aXPRWsvAdTmc0ZbnUNHrVD2aVWeqvVp0xqFWyMQJImIJGEPeOmOOrgnOrudUUe39z7vacbjGVSauFDKjAqlrD5LC9kGixBPoxAx+kwwLgiEQ7T4nDR7HTR77TR7HDT7HDR7HDR57bR4HXQGBk9jcCJapapPyy9DbyZDJy/TowInTWciTWcUNzaBYAyhVCjkxorOSKllaOd4Q0FZIAU8dPnddPRyjtt8Ltr9rnhjyxn04w0HOebu4pj75F16RrWWXEMK2YYUcgwp5BqsZBtSyDWkkGOwkmNIwawRoRXjESGKBGdMKBKh1eek0dNNi9dBU0z4eJ3RpYMOv3tI19Ip1WQZLGTqzPJywNacBatGL4SOQCAAwKDWYFBbyTNaT1nWGwrGu917nGgnrb3c6FafLJ48oQBHne0cdQ4+i71ZresllGIvKzlGWUTlGa3oVeM7+/N4RIgiwaCEIhFavA4aPN00eLpp9HTT4LHHt1u8DkJDGHmlVarirauc6E0ku1eLK8eQgk1rEGJHIBAkDINaQ5E5jSJz2knLeUKBeCNPXtp7NfrkfY5oqg2Xs42jzrZBr5WhM5FntJFntJFvtJJvtJEf3c4zWjGqtYOeK0gOQhRNYIKRMM1eR1TsRF9uWfQ0emXRc6oRWRqFkhyjtVdLqa/YyTGkkKo1CsEjEAjGBEa1llJLBqWWjEHLuOPCqXdIgD0aJuCg0WvHEwrIA0H8bj7s6p/QECBNayTfFBVKBit50fWYcDIJ0TTiCFE0znGHAhx3d3LM1cVxdyfHo/3px92dNHntpxY9ShV5Biv5Jlt82ftHm6k3i1w4AoFgQmFSaymzZFA2iHCSJAl70BdtaMqNzMZejc4GTzeukJ/OgBxAvrerccDrpOtMFJpSKTSlUWRKpdCUSpEpjUJTKuk6k2hsJgAhisY4kiTR4XdHxU5f0XPc3XXKmB6tUhUXOCfau/lGGxl6s8hMKxAIBKeBQqHApjVg0xqYYcsdsIwj4DshNEEOT2iMbtuDvmiqETe7O+v7nW9Uayk0xoRSKoXmtLhoyjVYUStFY/VMEKJoDCBJEt0BL7Wujj6vOlcnxz1dp8zJY9Ma4q2LgtgPKNryyNRbhOgRCASCEUbOB5XDNFvOgMcdAZ/s8kcbufJSXm/2OvCEAhxytHDI0dLvXLVCSZ7RSpEpjRJzes/Lkk6uwSru+SdhzOYpeuihh/jOd77DXXfdxS9/+cshnTPa8xR5QgGOuTvjoqfGGRM/HSfN0aMAcgzWvvaqWRY+hcbUs0rEJhAIBILRhT8cosHTHe8d6AmR6KLe00XgJBMUa5UqiuNCqUc0lZozRvWAF5Gn6CRs376dP/7xj8yePTvZVTltwlKEend3P9en1tVBs9dx0nNzDdY+X+RiczpFplTyjTYxq7VAIBBMEHQq9aAxTRFJosXr4Li7izp3J3W9njHHXJ0EImEOO1o57Gjtd65Vo+8lmHpepZb0CZNeYMw9SV0uFzfddBOPP/44DzzwQLKrMyiBcIhadyfVzjaOOto46myn2tlOjav9pCrepjX0/0Ka0yk0pWFQT4wvpUAgEAjODKVCQa7RSq7RysLMkj7HQpEITV57n8Z4rEeiyWvHHvTxYVdDv9FyCiDfaKPckkm5JYMySyblKfK6RTO+eiLGnCj64he/yBVXXMHFF198SlHk9/vx+/3xbYfj5E7MmeAOBahxtnM0mq+iOprw67i7c9CRXTqlmmJzGqXmjD6uT4k5nVSdcdjrKBCcilAkgi8Uir6C+EIhvNF1fyhMMBImGA4TCIcJhiMEwiECkUjPvkjf/XK5nnNCkQhhKUJYkohEJHk9uoxIUnw9HImWkfqWCUckYHh6+pUKJSqFApVSXiqVfbcH2tdzjgK1UoVGpUSjVKFVyS+NUolWpe6/f4Dj2uhxvVqNXqNBr1Jj0KjlbbUGjVI5arswBGMbtVIZHc2WyoXZk/oc84WDHHN19hJMndS42qlxdmAPeqn3dFPv6WZDy+E+52XqzX3FkiWDckvmmB0dN6ZE0UsvvcTOnTvZvn37kMo/+OCD3H///cPy3sFImGpnOwfszVTZWzjsaOWos50mr33Qc8xqHWWWDCZZMqNWp/yFyTfZxDB2wRkRkSQ8wSCugB93IIArEMAZXboC/ugygCsoLz2BQFzcxIVOsLfokY8FI6dOwikYGVQKRVwg6dVqDGr1AAJKg1GjwaTRYtbKL4tWi1mrw6zVYorv69kWo5EEJ0Ov0lBhzabCmt1nvyRJdAY8csPf0dPwP+ps6zU/pYstbTV9zrNq9JRZMpmUksmUlGymWLOZas0Z9dOjjJlA6+PHj3POOefw5ptvxmOJli9fzty5cwcNtB7IKSosLDxloJY7FOCQvZkD3c0csMuvw45WgoN0e6XrTJRF1XFMLU+yZJKpN49JpSxIHBFJwhXwY/f5sft9dPt8OPw+7H4/3T4vdr8fh0/edvplkeMOyoLHGQjgDgSGyS8ZHH30IWxQq9GpNeiijodOpUITdUm00XWtWjUkx0SlVKLu5cAoFUpUSgWq+LLHjVEqFagVSlRKJcpezs1wjJiRTnShTnCm4i6W1OtYr30RSSIYdb5iDlnMFRvIIYsdD4QjfcuGw3FBGhOnkQTfig1qNWatrpdgkpcpOj1WnR6rXhddRrd1up51vV6IKkE/nEFfVCT1hIhUO9s47u4a9D5VZEplmjWXabYcplrl0XeZulM/K0cq0HrMiKJXX32Va6+9FpWqZxbzcDiMInrD9Pv9fY4NxEAfapvPxUF7Mwe6mzhgb+FAdxPH3J0D/oea1bqo2s2mIiWb8qgDJLq8Jib+UIgOr4dOr5cur5cOr5dOr4cun5dunw+734c9KnDs0W2H3z8sDz+VQhF3BXpeuviDLuYOmDRadGo1xqjLoNfEBI8mLn5i2waNGq1KLYbrJgFJkgiEw/jDIbzBUNTJC+Lv5ejFtj1xpy/Y4wye6BT2evnDoWGpo1mjJUWvwxYVSSk6PTa9LJ5SDQZS9QbSDUbSDAbSokuzVisahhMQXzhIrauDo442DjtaOeRo5aC9edDBROk6E9OsPSJpmjWXYnNan3uREEUn4HQ6qaur67PvtttuY+rUqXz7299m5syZp7xG7EP9yZbXqAk7OdDdTLvfNWDZLL1F/k+y5TDdmsM0Wy75Rpt4YIxjPMEgbW43nVGh0xEVOJ1eb3w7JoA6vR7cweAZv5dOpY4/UFL0+l4PGl10vz7e9WHWajHrdH26SXQqtXjYCIZEIByOd7XGHMfe644BxHt82+/DFTh5HrSToVWqSDUYokKpRyz1Xk83GEnVG8gwGrHpxYTP45lOv5uDUfPhoL2FA/YmapwdRAawIYwqDVOsOUy1ZjPNlkupysK5RRViSH4Mi8XST/iYTCbS09OHJIh689SR91EZ5Yh5BVBiTmeaLZdp1py4EErXmYar6oIkEo5E6PR6afO4aXW7afO4aTtx6fHQ5nadkchRK5Wk6ntu8ukGA6kGQ1zYWKOCJyXaNRHbr1OPmZ+eYIyjVanQRr+XZ0IoEol38dp9vrhwkrt+/XT7fNHGgyfegOj0evCGQgQiYVrcLlrcAzc+T0SjVJJhNJFpMpEVXWYYjWSZzGQajWQaTWSZzGQYjeI3NAZJ05lYklXGkqyy+D5vKEiVo4UD9mYORkNWDtlb8ISD7Oo8zq7O4wCcYxo4M/hwMyG/VdcWzWVufhlTrTlMsWaLmYrHIBFJosPjocnlpMXlkpduV4/Ycctip8PrOa3uKr1a3Ufg9GnZ6qPbxp7jFq1OtGwF4xq1Uhn9HZxemIA3GOxxXE9wW2MCqsvX0+3s8PsJRiI0uZw0uZynvH6KThcVSSZZSBlNZJtN5Jgt5JjN5JotZJnMaE8RViFILga1hjlpBcxJK4jvC0Ui1Lo6+oS2zDZk8vwI1GfMdJ8NB6M9o7VAJhgO0+px0+xy0ux00ex2yesuJ80uF80uueUZGuKIKaVCQbrBKLc0e91As0zyMtYazTSaRAyEQJAk/KEQ7V5Pr0aNO+7wtnvctLk98UbPyXK9nUi6wUiu2UyO2UJ2dBnbzokujRqRA260IzJaC8YlkiTR6fXS4HTIL4eDRqeDRqfcOmx2uWj3uIc0wkqpUJBlNMVvdDlmc1zkxKz3TKOJVINBjJwRCEY5OrWafEsK+ZaTP/AkScLh9/fpAm/ttYw1nppcTgLhMB1e2TGubOufwTlGik4n30NMZnItlng98lPkV7bJLO4hEwQhigTDSkSSaHW7aHA6qHfIoqfBKQuf2Lo3dOrRMBqlso/YyTVb5JaeyRxv5WWaTOJGJRBMMBQKhZwqQK9nUlr6oOUkSaLL5412r7v6iKWW6HaTy4k7GMTh9+Pw+6nqaB/wWiqFghyzLJYKokIpr5dwyjNbRIzTOEH8LwpOi5jTc8zeTZ3dznFHN8cddlnwOBw0uZxDSgSYZTLFW2N50ZtKnsUSFUEW0gwGMdJPIBCcMQqFIh4LNS0za9ByTr9f7pZ3O2mKOtYxF7v3PS3mbm9rHPg6ve9p+SkpFFttFFltFFmt5JotqEQDbkwgRJGgH6FIhEangzp7N8fsdo5HBdAxezfH7XZcwZMP0RWtKoFAMFaw6HRYdDompw/sOoUjEdo87kHd73qnA18oRKtb7r7b1dzU7xoapZL8FCtFKVaKrFaKrDaKrTYKo+sipmn0IJ5MExRfKEhNdzd13d0cs3dzzGHnWHS9wekYdN62GLlmM0WxH3WKTfS/CwSCcYlKqYw72Aty8/sdHyhOst5hjzck6x12gpEItd1d1HZ3DfgemUZTXCwVRe+pxTYbpbbUM06lIDgzxOizcUw4avlWd3VR091FTVenvOzuotF58iGvWpUq2qqx9fqxyuuFKVbh9AgEAsEQCEciNLtdcqPTIQulY1EX/pjdjt3vO+n5Nr2eUlsqZalplNhSKbWlUpqaSonVhmECOUwio3UCGK+iyB8KUWvv5khHB4c7OzgSfdV2d5906GqKTkepLbWP8CmOrmeZzCKmRyAQCBKM3eeLO/V1UcF03GGntruLJtfJk17mW1KYlJbOpLQ0JqWlMzm6nqLTj1DtRw4hihLAWBdFoUiEuu4uDra3c6ijnarOdo50dlDX3T1od5dOpaYkasOWpqb2WabqDSInj0AgEIxSvMEgtfZuaqJuf213F9VdnVR3dZ3UYco2mZmUlsbktHSmpGcwNSOTyekZYzp2SYiiBDCWRFGHx8PBjjYOtrdzsL2NQx3tHO7oGHRyR7NWS0VaerTVEGsxpJNrsQjHRyAQCMYZnV4P1V1dHOns20MwmLukAIptqUxNz2BKhiyUpqZnUmi1jolnhBBFCWA0iiJ/KMTRrk4OtrdFX7IL1OZxD1jeoFZTEVX+FekZTI4KoCyTSbg+AoFAMMFx+P1Ud3VyuLODQ+3tHOqQG9XtHs+A5Y0aDVPSM+KO0tSMTKakZ2DVj64uOCGKEkCyRVG7x8P+tlb2tbVwoL2NQ+3tVHd1Dtj1pQCKrLb4F1T+smZQZLWNCVUvEAgEgtFDm8fNoV49D4fa26jq7CAQHjjuNNdskR2l9ExmZGYxIysrqc8fIYoSwEh9qJIk0eRysq+1lX1REbSvtZXmQWaKtur0TI3bmRlMychkclo6Jq2YqFYgEAgEiSEUTRUQE0qx3ooGp2PA8maNlulRgSQLpWzKU9NGJAWLEEUJIBEfakSSqLN3s6+1RRZArbII6vL1D4JTACW2VGZkZTEtI5NpGVlMSc8gx2wWXV+CUUE4EsEXCOEJBPAGQnj8AXzBEMFQGH8oTCAUJhAM4Q+F5PXoyx8KEQj2rAejS38wTDAUJhgOE45IhCMRwpEIoeh6JCIRiu4LhyOEIhEikhRd7ykfjkgM161KpVSiUipQq5SolEqUip712LF4mdg+lRKVQt6vVinRqlVo1Wq0ahU6Ta91tQqNWoVOo46uy0utWoVWo0ar6ilv0Gow6jTxpUbM5i4YJcSmPDnY3saB9jb2tbVysL1tQFdJp1IzNSODGVnZslDKlJ9rw522RYiiBHC2H2o4EuFwZ0fU/WllX2sLB9raBszwrFYqmZSWzozMLGZmZTE9M4tpGVmYhfsjGEbCkQhufwCn14/LJy/ldT9OXwCPP4AnEMQbCOL1B+V1v7wd2++JbnsDQXzBU89LJ0gMapUSo1YWSX0FkxaDVo1Rq+0npMw6LRaDDrNeh8WgxWLQY9Zrseh1aNRCZAmGj2A4zNGuTva3tVJ5Gs+/GXFnKfusRr8JUZQATudDlSSJ4w47e1qa+TD6qmxtGXAy095KeWamLIASoZQF4xNfMES324vd46Pb7aXb48Pu8fUVON4ATp8fl9cvL6MCyO0/+ZQrZ4pCQfQhrEav1URdELXsgvRzPWTnQ6dRoVXJx3RR5yT2UquUqFWquPuiVCpRxx2ZXk6M6oT9vdaHI5YhIkmyE9XLgQqFI/1dq+h6pNd6OFouFI4QCIfxB8MEejlmA7tlsrMWPx4t6wuG4kI1NIS5As8EvUaNWa+NCiYdFr0Os0EWTD1CSofVqMdm1GMz6bEaDdhMekw6rXCvBafkdHpKlAoFk9PSmZ2dw+zsHOZk5zAlPWPIDqkQRQngZB9qm8fNh83NfNjaI4IG+o81aTTMyMxOSp+qYHQjSRIef5BOl4eumLiJLrvdPuweL91uH90eL3a3L7rfOyzujE6twhx78Ol73AOTrr+7YNBq4o5EbPtEZ0KnVomH4ggRDIXjDp7s3gXwBEJRF6+nG7O3u+f1yw6fLJBlkeyICmiPP3jWdVKrlHGxZDUZZNFkNGA1xQSUQT5ukvenmY1YjXqUSvGdmegMFFNb2dpKywAxtVqVihmZWbJQysphTk4OJbbUARtAQhQlgNiHWt/ayjGfN+4C7WlppsnVf9oLrVLF1MxMZmdlMycnl9lZOZSlporZjicQkiTh8PrpcHrocHnocLrj651ODx1OD52u2DHPGQsclVIRb6XbjHKL3WLQkWKQRY7ZoCNFr8Mc3e7b2teiFa6kIEo4Eok7ibFu1B7H0d/nmMPrx+HpEeh2j++svsNpZiPpZiPpFqO8bunZTreY4ts2kwG1StxHJxItLpdsOLQ2sydqQDj8/n7lLFods7KzmZ3V4yjlmM04nU4hioabmCgqefgBFCfkYFAAk3pZe7Ozc5gqusDGLeFIhE6Xh1a7ixa7m1a7i1aHiza7m3anOy56Ol1egoMMWR0Mg1aNzWSQW9YndEvEWt6p0da3NdrSNutFd4VgdOANBKNOZi9nM+p29nY5Yy5ol9uL09v/4XYyFApINRniIirNYiQzxUSW1Ux2ipksq/zKTDGh04h78HhEkiRq7d3xnhk5RKV1wATFmUYTK3PzeOgjVydcFE3Ib5sEFFhS4ip0dnYOM7OyRRD0OMHjD9Lc7YwLHVn4uGhzuOPrHU434cjQ2wMWvY40syHa4jWSZjbF19NPaBEbdeJ7JBi7xLpTc1ItQz4nGArH3dLO6DK2La+748e63F4kCTpdXjpdXo7QcdJr24x6WSDFBZMpLpqyrWZybBasRr1oVIwxFAqFPO2ULZWrp0wD5GDuw50dcZG0p6WZqmgyY2fg7LuFh1SviegUVTc1UZqTk+zqCM6QQChEY5eT+g57z6vTTkOHnaZuJ3bPyWedjqFUKMiwGHu1SuUbbkYvmz/WDSBaqwLB8BCOROhye3sJJtmVjTm1LdGGTKvdRSA0NJdWr1GTY7OQl5pCQbq155UmLy0GXYL/KkGi8AaD7GtrJeLzsah8kug+G06SndFaMDQkSaLD5ekjeHoLoFaHi1N9a006Ldk2M1kpPS3KuD0fFUFpZqOIaxAIRimxeL6WqEBqs7vigikmnlq6XXS6Bp6+ojdWo76PSOq9nmOziPvAGGCknt+i+StICpGIRIvdSW1bF7WtXRzr6I6LnoZOO97AyYM9DVoNhdGbW37sRpeWQm5qCjk2i2gZCgRjHIVCgdWox2rUU5GbMWg5fzBEq91FU7eThk5Hv8ZUp8uDPZrmYt/xln7nq5QKclNT4iKpMN1KcWYqJZmpFGZYxSCGCYb43xYklG63Ny586tq7qGvroratm2NtXfhPYo0rFJBjswzYsitIt5JqMogYAoFAgE6jpjDDRmGGbcDjHn+A+t5iqZdgaui0EwiF4/s53PdcpUJBbqqFkqw0SjJtFGekxgVTjs0iUhCMQ0T3meCs8QaCHGvvprZNFj0x4VPX1nXS+B61Sklhuo3i6M2mMKNH+OSlpoiMvAKBIKFEIhJtTjf1Hd00dDo43t7NsXY7de1yQ+5kyVF1ahWFGTZKs2ShVJwhi6XizFRsJhH4PdyIPEUJQIiis8PtC3C0pYOjLZ1Ut3RwpLmD6pZOGrsGnjwwRo7NQnGmjZLMaGsr2tLKTU0RffkCgWBUIkkSHU5P/8ZeexfH2rsJhQfPRG416inPTqM8J53y7OgrJ40Mi0mIpTNEiKIEIETR0HB6/VS3dnK0uSMugo42d9Dc3T/BZYwUgy5uMZdkpsnuT2YqRRk2DNozn+9GIBAIRhuhcISmLkdcMMWc8br2Lpq6Tn6fLM9OpywnjUnZ6ZRlp1Oek05WihBLp0KIogQgRFFfnF5/XPgcaemgurmToy0dtNj7p2OPkZlioiw7LdrySac8O42yrHRSzYYRrLlAIBCMTryBIHVtXfHG5NGWDo42d3C8w05kkMetRa+jLDuNSTlRoZSdxqTcDCGWeiFEUQKYqKIoEpE43tFNVVM7hxrbONTYxuGmdho6B+/2ykox9Vi/MfGTnY7VqB/0HIFAIBAMjD8YoratKyqUekIQjnd0D5pINjbybkpeJhV5mVTkZjApJ31C5k0ToigBTARR5PL5qWpsjwugqqZ2Dje14x0kG2iW1cykXsKnPCedsuw0UgxC/AgEAkGiCYRC1LV19wpXkEVTXVvXgGJJpVRQnJnKlNxMKvIyqMjLZEpe5rh3lYQoSgDjSRRFIhL1nXZZ+DS2caixnaqmtkHdH51axaTcjD4/pIrcDOH8CAQCwSgkEApxtLkz3ritirr83YOM6LUZ9fJ9PS+DitxMpuRlUJ49flwlIYoSwFgVReFIhLq2LvbVt7K/voX99a0cbGjF4x/Y/cm2mqN2a0wEZVKUYRMjvQQCgWAMI0kSbQ53PAwiJpZqT+IqlWenM70gm+kFWUwryGJKXuaYHPwiRFECGAuiSJJkB2h3bRP7jjez/3grBxvbBuz+0qpVTMpJlwVQr35n4f4IBALBxMEfDHG0pSPeY1DVKIdPDJQnTqVUUJqVxvSCbGYUZjOnOIeKvEw0qtGdF06IogQwGkWRLxhi3/Fm9tQ2sbu2iT11TQPO5WPQqpmSlxlX/NMLsinNShPuj0AgEAj6IUkSLd0u9tW3cKChlf3RnoYOZ//ni16jjgqkXOaU5DGnOJd0izEJtR4cIYoSwGgQRa12FzurG9hd18ie2iYONrQRivRNAqZWKZmen8Ws4hxmFGQzvSCbkqxUVEohgAQCgUBwZkiSRKvDzf7jLeyvb2Hv8RY+rGvC6fX3K1uYbmVOSS5zS/KYX5pPeXZ6Uqc1EaIoAYy0KJIkiYZOBzuq69lR3cCO6gaOtXf3K5eZYmJOsfzlm1Ocy7SCrHETHCcQCASC0UskIlHb1smeaE/F7tpGjrZ09itnNeqZX5rPgvJ8zinLZ0pe1oj2VAhRlAAS/aFKkkRNaycfVDew42gDO6rr+yVCVCoUTMnLZF5pXlwE5aZaxvVQSsHEIxKR8AeC+Pwh/IEQwWCYUDhMKBwhHIrIy7C8DIXk/b33haP7espEBk18dzooFKBSKlGrlahVKtQqJSpVbFuJSqVCrVb2KtNTVqVSyOeolei0GvQ6NTqtGrWYo08wznB4feyta2ZPXRO7ahrZU9eINxDqU8ao0zCvJI8FZQUsKMtnZlE2WnXiGvNCFCWA4f5Qw5EIVY3tfZygLre3Txm1SsnMwuz4F2duSR4Wg+6s31sgOFskSSIQDOP2+HF7Ari90aXHj9sbwOPx4/IE8PmD+PxB/IEQfn+oj9jxBYIE/CF8gei2P0ggECIQDCf7zxsxVColOq06LpJ0Wg06nRp9dCkf08TLaKPbJoMWk1GHyajFZNBhNGoxG3Xx/Qa9RjSWBKOCYDjMwYY2dhyNPutqGvp1uWnVKmYX57KgLJ8FZfnMKc7DqBu+UW5CFCWAs/1Qg+Ew+463xAXQrpoGXL6+syjrNWrmxL4Y5QXMKsoZk8MfBWODcDiC0+3D4fRhd3qxO33YnR7sTh9Olw+n24fHG+gjdnqLoFBo8EkthwutRoVGo+pxZvo5MSpUSgVqdY9zo1L1PzYc8QySJMnu04luVTgsO1iRwZ2s3tv+QIhE3zkVCvqJpdi60SCLKavFQIpZLy8t8jK2rhVd8IIEEYlIHG5ujz4LZaF0YgC3WqlkekFW/Fk4vzT/rAwBIYoSwOl+qLH/+K2Hj7P18DE+qK7vlxvIrNcyrzQ/ro5nFGSjEXa64AyQJAmny0en3UNnl5tupxdHVOg4nN5+23aXD5fbNywPZ6NB28+5MBm1GA3yK+Z2aHs5IjH3o8cZ6V9Gp9UkNTgzUcRcNn/UQevvnPXd37dcEK8viMcbwOMN4IqKVI9XduY8Hv+g0z6cDga9Ji6YrCkGUswGrJaYgJLXUywG0qxG0lJN2FKMYjSr4IyQJIm69u4eJ6m6gcauvomElQoFMwqzWTS5kEWTiphbmof+NIS7EEUJ4FQfqiRJHO+ws/XwMbYePs62I8f7dYfZjHoWlBdwTlk+C8oKqMjLEKPCBCfF4w3QZffQ0e2ms8stL7vddHZ7okt5X1e3h2DozLqdTEZt/KGXEnULrBY9FpMeYy+RY+rVPRPvtjFox6VwGatIkoQ/EMLl8eOJOnoutyya3B5ZRHm8AZxu2Q2Mi2SnD4fLi8PlI3IGokqhAFuKkTSbiXSbiVSbkXSbiTSbibRUU3RdPp5i1ouuPcFJaex0sKNGdpI+OFJP3QmDjLRqFfNK8lg4uZBFk4uYUZB9UlEuRFECGOhDbXO4ok7QcbYeOUZTl7PPOQathgVl+SyaJP/HTcnLFA8QAQChcISOLhet7U5aO6KvdidtHU46egker2/gzOODYTHrSbMasaUY410i8a4Rs6HfvhSzXgT7CuJEIhIuj7+vq+iUxZI9tu7sWe/q9tDl8JyWkFKrlaRZe0RSRpqZrAwL2ekWMtMtZGVYyEq3oB/GmBLB2Ka5y8nWI8fiPS+tDnef42a9lnPKCmQnaXIRk3LS+whvIYoSQOxDfW3zTiqbutl65BjVJww9VKuUzCnOjYugWUU5ojtsAhIOR+jodseFTkzstPQRPu4hP0j0OnW8Bd635R17GeNLEQsiGGnC4Qh2pzfuXsbdzD7OpuxuOlwDz701EClmfVwgZUXFUma6LJ6yMixkppnRCeE04ZBHanex7YgskLYdOY7jhMDtNLMx+hyWn8UpGoUQRcNNTBRN++JPUOnkqTAUCpiWnxUXQfNK84c1Yl4wOgmFI7R1OGlqsdPYaqexxU5Tq/xqbXfS0eUaUlyHSqUkM9pKzkyzkB296WekmfqIIDGSSDBeCARDdNmj4qnLQ0eXi/ZOFy0dcmMh5pwO1SG1pRjITLeQk5lCXpaV3GwredlWcrPkl3Cbxj/hSISDDW1xgbSzpqFfCoAFhRk887VbEy6KJmSTtCjDxgWzprB4ciHnTioUc4WNQyRJotvhjQudxpbYq5umVjst7U7C4ZOPvFIpFXK3QK/ugMz0HuGTlWEhzWoS3amCCYVWoyY7I4XsjMEfTJIkd+HFXNZY93Jbh5OW9p6uZn8gRLfDS7fDy+Ga1gGvlW4z9RFK8WWWlcx0CyoRHD7mUSmVzCiU52K7feW5BEIhPqxrjsf37j3WTEG6dUTqMiGdotE095ng7PD6AtTVd1J9rJ3a+g6ON3bR2NJNY6v9lC1VjVpFdmYKednWeAs1N8tKdkYKWelm0mwmccMVCBJEbLRlrEu6uVV2bZtaHfHGi9sTOOk11Gol2Rnyb7ggN5Xi/DTKCjMoLUon1Woaob9k5AhHJLbVdNLq9JFl0bOwNA3VBGiUefwBWto7KCvIE91nw4kQRWOXQDDEsYYuqo+3U3OsnZrj7VQfa6ep1X7SIemZaea42ImLnywreTk2MlLNwuURCEYpMdHU2BITS9Fu7uh2c5v9pHm2bCkGyooyKC3MoLQoI7qejsU0NnsG1lQ2cf+/9tNk74npyrXque/K6ayemZvEmo0MItA6AQhRNPoJhSPUN3XFRU/N8Q5qjrVT39Q1aIxP7OZXUpBOcX4aeTk28rNtZGemoNNOyB5igWDcEw5HaO9y0dRip6Glm+ONXdTWd1BzvIPGlu5BG0uZaeaoUEqPi6aSgnSMBu3I/gGnwZrKJu58ficn/kmxJt1jN88f98JIiKIEIETR6KLL7uFwTStVNS0cqW2j5ngHxxo6B83VYzbp4jexssL0+I1tPNrkAoHgzPH5g7JAOtbTuKo+3k5ru3PQc3KzUigtzKC8OJPJpVlUlGaRl21Lupscjkhc8PD6uEM0vaWaOlsObp0RkIVRjlXPpm+vHNddaSP1/BbNaEHCkSSJ5jYHVTWtHK5ukZc1rbR1ugYsb9BrKClMl2MDCmXbu6wog/RUkxjBJRAITolep2FqeQ5Ty3P67He5/VE3qa8T3dHtpqnVQVOrg807quPljQYtk0uy4iJpclkWpQXpI5oXbFtNZ1wQGQNe/vv0V/jKld/g9enLAZCAJruPbTWdnFeePmL1Gq8IUSQYVkLhCMcaOuMO0OGaVg7XtuEcILeJQgEFualUlGYxqSSL8mJZBGVnpCS9dSYQCMYfZpOOmVPymDklr89+u9Mru0rH2zlS28bhmlaO1rXh8QbYc6CePQfq42U1ahWlRRmySCrNYkpZNuXFGRj0iel+a3X23DuzXHJevVZz2knLCc4cIYoEZ0woFObosXYOHmmOiiD5RuI/Ib8EyKNEygozerW4splUnDmq+/EFAsHEwGoxMHdGIXNnFMb3yQ28DqqqW+P3t8M1rbg8fqqqW6iqbomXVSigKC8tfn+rKMtmankOZtOZT4AaI8vSExieHRNFpv6iqHc5wZkjRJFgSEiSRGOLnf2HmzhwpJn9h5uoqmklMIAAMug1PeKnNIuK0mxKCtLRaERmcIFAMDZQq5SUFWVSVpTJ6uUzgJ77YI9IksMBOrrc1DV0UtfQybpNBwFZKBXnpzFtUi7TJ+cybXIOk4ozT7vrbWFpGrlWPc12X1wUtfRyimIxRQtL+wslwekjRJFgQOxOb1z8HIgKoW6Ht185i1nP1PJsKkqzqSiTRVBBTqro/hIIBOMOhUJBfo6N/Bwby8+riO/v7HbHnaSq6hYOHm2hqdVObX0ntfWd/O+dfQBotWoqSrNkkTQph+mTc8nLtp40VlKlVHDfldO58/mdZLs6cGkNfYKsAe67cvq4DrIeSYQoEuAPhDhc28qBwz0iqL65u185jVrF5NIspk/Oif6ocynItYngZ4FAMKFJs5lYPK+UxfNK4/u67B4OHGniwOFm9kUblk6Xj8pDjVQeaoyXs6UYmDYph2mTc+NiyWox9Ln+6pm5PHbzfDrfe6aPS5QzgfIUjRRiSP4EpK3DyYcHG9h7sIHKQ40cqWsbMAlaYV4q0yfnMn1SDtMrcikvzhSTlQoEAsEZIEkS9U3dHDjSxP7DTew/LMdiDpSCpCDHxvSKXGZPzWfW1HxKCzNQKhVEbvwkzuo63vnj3yZURmsQeYoSwkQURZGIRG19hyyCDjTw4cF6mlod/crZUgyyAKrIZfqkXKZOyiHFLAL3BAKBIFEEgiGO1rWxv6qJ/dFwheONXf3KmU06Zk3J4+sv/hhdcRHGV/4x4RLTijxFgjMiEAxx8GgLHx6o58MDDew91NhvOLxSqWBSSVa0FZLH9Mm55GSmiG4wgUAgGEG0GjXTJsmhCB+N7nO4fBw80szeQw3sPdjIvqpGXG4/7++sIVh3nLcDFv50y2+YWp7NrGn5zJ5awKypef263ARnhhBFY5xIROJoXRvb9tSybXctew82EAj2tWP1OjUzKvKYPTWf2dPymVGRJ4bCCwQCwSgkxaxn4dwSFs4tAeTUAEdqW/nwQANZ/74XT2omwVCYvYca2XuokRfYDkB5cSYL5xSzcG4Js6fmo9NpkvhXjF1E99kYpNvhYcvOGrbtqWX7njq67J4+x1OtxrgAmj0tn8klWSOagVUgEAgEw4zTCSkpSH/5C40rL5d7Aw428OGBBuoaOvsU1WrVzJ1WwLlzi1kyv4yi/LQx3xMgYooSwFgVRZIkUXO8nfc+qGbzB0eprGrsM9mhQa9h3oxCFs4t4dzZxePiByAQCASCXhw6BFOnwjvvwLJlfQ512T3s2HtMbijvru03hVJ+jo3zzylnyYIy5kwrGJM544QoSgBjSRQFgiF2VR5n845qNu842i84elJJJufNL2Ph3BJmVuSNyS+5QCAQCIbI22/DypVQVQWTJw9aTJLkwTXb99SxZWcNu/Yd7zPCzWTUsnBOCUvOKWfxvFJSrcaRqP1ZI0RRAhjtoqijy837O6vZvKOa7Xtq8fqC8WNajYoFs4o4/5xyzltQRnbG6Ku/QCAQCBLEX/4CN98sd6OZzUM+zeMNsP3DOt774Cjv76juE26hUMDMijyWRF2ksqKMUdvLIERRAhhtokiSJA7XtLJ5RzXvfXCUA0ea+xxPTzWxZEE5559TzoJZhQmbcFAgEAgEo5yf/Qx++ENw9E+pMlQiEYmDR5t574OjbN5RzeGa1j7HczJTWLKgjCXnlDNvRuGoGvYvRNEJPPjgg7z88sscPHgQg8HAkiVLePjhh5kyZcqQrzEaRFEgGOKDD+vi8UEn9v1OLc9myTmyEKoozRq1ql0gEAgEI8jdd8N//wsHDw7bJVvaHby/Q+6d+GDvsT5zWRr0Gs6ZXcz5C8o5/9zypHezCVF0AqtXr+aGG27g3HPPJRQK8d3vfpfKykr279+PyWQa0jWSJYq8vgBbdtWwYcthNu+oxuMNxI/pdWrOnV3CknPKOG9BGRmpQ7dFBQKBQDBBuOEGaG2F9esTcnmfP8gHHx5j8w7ZRWrv1WBXKhXMmVbAssWTWbZoMpnploTU4WQIUXQK2trayMrKYsOGDSxdunRI54ykKHK5/bz3wVE2bD3M1l01+Hsp8Iw0MxecK7tB82cWjSqLUiAQCASjkKVLoagInn8+4W8lSRJVNa1s/uAo724/SlV1S5/jMypyWbZoMssWV5CfY0t4fUBktD4ldrsdgLS0tEHL+P1+/H5/fNtxFn2xQ6HL7mHT9iNs2HKYD/bW9ZlPLDfLyvLF8pdo+uRcMYu8YNwRCobxevx4PQE8bj9edwCvV14GfEGCoTDBQIhQMEwwECYUDBEMhgkGw4Sir2AgFN+Ol42Wi4TPvv2mUIBao0KjVaOJLtVqVZ998np0qVb3rGvVqDUqtFo1BqMWvVGL0aTDYNJhMGgxmHRodWrR5S1IDE1NsHjxiLyVQqFgSlk2U8qyue0TS2hs6Wbj1iNs2FLF3kON7KtqYl9VE79/biOTS7PiDlJpYcaI1C+RjEmnKBKJcNVVV9Hd3c2mTZsGLfeDH/yA+++/v9/+4VSabR1ONm49zIath9m9v55IpOfjLClIY9niCpYtmsxkER8kGMUEgyGcdi+Obg/Obg/26NJh9+Bx9QgdnyeAx+PH65b3xZeeAMFebuhERalSYjBqMUQFk96oxWiUhVPPuiygUqxGUmxGLDZDfD3FakRn0Ih7haAvkiSPOHvgAfja15JalfZOFxu3HWbDlsPs3neccK9nXnF+9Jm3ePKwx8SK7rOTcOedd/K///2PTZs2UVBQMGi5gZyiwsLCs/5QG1u62bBV/lJUHmrsc6yiNCv+pSgpSD/j9xAIzpRwOIK9y01nmxN7l1sWOnYv9i53XPg47FHREz3mcftPfeEhook6KQaj/PA3GLXo9Jq+ToxGfVrujEajQqlSnnXdIhGJcDB8Wq5VrFzMtfL7Qvi8gbgo9Lj9+HulzzhbNFo1KTYDll5CKSVVXlpsRlKsBnm/zURqhpm0TAta0QU/vrHbwWaDl16C669Pdm3idDs8bNp+lA1bqtj+Yf/ekZiDNKMi76x7R4QoGoQvfelLvPbaa2zcuJHS0tLTOvdsPtSWdgfrNh3krfcO9etfnTklL/6fn5dtO63rCgRDRZIkHN0eWpvsdLQ66Gx3xpedrU552e6kq8NNJBw59QVPQKFQYE7Ry+5F/IFswGQxyO5GVOTEnA9Z+Ojix2LOiEYz8R7Q4XBEFkruQLwLMSaYety1nmNupw+nwxsXprJI9RIKhU/9ZgNgsRpIy7CQnmUhLcNCWlaKvMy0kJ5pITPHSnqmBZWY7mdscuAATJ8OGzfChRcmuzYD4nL72byzmg3vV7FlgDja5YsrWHXhNKZPzjkjB0mIohOQJIkvf/nLvPLKK7zzzjtMPklGz8E43Q81EpHYsbeOl/+3m/d2HI13jSmVCuZOL4h3jWWkiRFjguHB6fDSUNtOw7EOWhq7aGuy09LUTVuTndam7iE7EkqlAmuaCVuamRSrQXYYbP3dBkvMibAZMVn0qIbBjRGcGZIk4fUEou5dVCxFnby+7p4Xh92DvctNV7tryN2WSpWSjCwLWbk2MnNtZOfayMy1kl+UTn5xBhnZKaLbbrSyfj1cdBEcOQLl5cmuzSnx+YNs3VXDO1sOs3nHUdyenhHXk0oyufbSuVyydNpp5d4TougEvvCFL/DCCy/w2muv9clNZLVaMRgMQ7rGUD9Up9vH/97exytv7OZ4Y1d8/9zpBVx84TSWLZqc9JwNgrFLwB+k8Vgn9XXtNNS101DXIa/XdmDvcp/y/NQMMxnZ1qgTYCY9MyXuCKRlWkjLTMGWahSuwARAkiRcDi8dbc4+jmFHbNnmoLPVSXuL45QulE6vIb9YFkgFJRnkF6dTUJxBfkkGlpSh3WMFCeL55+GWW8DtBuPYevYEgiG276lj3aaDbNh6OJ4LyWzUcdmKGVy7ei5FeYMPmIohRNEJDNaCeeqpp/j0pz89pGuc6kM9XNvKy//bzZvv7sfnl//jjAYtly2X/+NEjJBgqITDEdqa7dTXnih82mltsnOyn116loW8onRyC9LIzLGSnWcjK1d+ZeRYRfyI4LQJhyN0tbtobe6mtbE77kC2NHbReKyT5oZOwqHBu1ytqUbySzJkkRQTTsUZ5BWlodVpRvAvmaD89Kfwk59Ad3eya3JWOJxe/vN2Ja++sYeG5u74/nPnFHPd6nmct6AM9SButRBFCWCgDzUYDPP2lipeWbObvQcb4mVLC9O5bvU8Ll02HaNBTK8hGBhJkmhrtlNzuIWaqmZqqpqpPdxC4/HOk3ZrGM26aGs8g4LidApKMskvTievKB2jSTeCf4FAIKdTaG7ooqGunfq6DlnI18pivr118FQmCoWCrFwrReVZlFbkUDo5m9KKHAqKM1CLSaqHj69+Fdauhf37k12TYSESkdi2p5aX/7eL93dWE1Mh2RkWrr5kDldePItUa9+kzEIUJYDeH6o3AK+t/ZB/rfswPkGeSqVk2aLJXLd6LnOmF4j+dUEfPG4/tUda4sKnpqqZmsMtuJ2+ActrNCpyi9IpGKBLwppmEt8vwZjA6/HTUNfR43ZGu3rr69pP+t0vLMukdHIOpRU5lETFUlqGWXzvz4RPfAI6O2HdumTXZNhpbOnm1bV7+M9bldidXgA0ahUrllRw7aVzmTklD4VCIURRIoh9qHff/wLb9zbGA6cz0sxcvWo2V66aLabZEBAOR2g63hkVPT0CqKm+a8DyKrWSwpJMSiuy4w+AotJMMnNtInBZMG6RJAl7l4f6mrZoY6El/nsZLMWDNdXYTygVlWWiF278ybnwQigpgeeeS3ZNEoY/EGL95kO8vGYXBw73TI4+uTSL61bPZdGcfLKzMoQoGk5iomjRlT9CrdEzb0Yh1102lwvPnYRaBKVOSMLhCMer2zhUWU9VZQOHDzRQd6R10FFe6VkWSiblxAVQaUUOhaUZE3IYukAwEJIk0dLYHW9U1FS1UHu4hYa69j7JbWMolQpyC9OZNC2XipkFTJmZz6SpeeiNQijFKS+Hj30MHn442TUZEQ4eaeblNbtY996heGB2dpqOl5/4ihBFw0lMFP34V69ywzXnU1Y09lOSC4aOJEm0NHRRta+BQ3vrqdrXwOH9jfh6TdAbQ6fXUDwpS27VTu5xgKypQ5t8WCAQ9MXvC3KsujUae9cSFUzN2Ls8/coqlQqKJ2VTMSOfKbMKqJiRT8mk7IkZpyRJ8oizhx6Cu+5Kdm1GFLvTy3/WV/LqG7tZNDefb3zuCiGKhpORnBBWkHy6O1wc2tdAVdQFqtpXP+ANWG/QMnlGHhUz5FZq2ZRccgvTRNeXQJBgJEmiq8NF9aFmjuxv4FBlA4cq6+lsc/Yrq9WpKZ+aK/9OZ+VTMaOAvKI0lMpx/jvt6oK0NPjb3+DjH092bZJCJCLR1t5BTnammBBWIBgKPk+Aqv2yA3SoUnaBWhu7+5VTq1WUTslhyox8KqIt0MLSTCGABIIkoFAo5HxbGRbOOb8nIW97i4OqffVxR7dqXwNup48De45zYM/xeDmzRc/kGflMmVlAxcx8ps4uJC3Dkow/JXE0NcnLvLzk1iOJKJWK00r0eDYIUSQYkzi6PezbVUfljloqd9Zx5GBjvzwrCoWCwtIMKqICaMqMAkqn5Ig8PwLBKCcjO4WM7OksWTkdkCcBbzzWGRVKsut79GATLqePXVuOsmvL0fi5eUXpzJxfHH2VkFuYNrZHvDVG59fMzU1uPSYIovtMMCZobeqmcqcsgCp31nHsaGu/MhnZKUydVUjFTLnlOGl6HiazPgm1FQgEiSYUDFN7pCUeI3iosp66I639EqOmZpiZOb8kLpJKJmePLWf42WfhU58CjweGOHvDeEQMyU8AQhSNHTranGx/9xB7ttewb2ctrU32fmUKSzOZuaA4fsPLzktNQk0FAsFoweXwsn/PsWjjqZbDlQ0Eg32nNzGadcyYW8zMBcWce0EFpRVnNkHpiPHQQ3JG687OZNckqQhRlACEKBq9SJLEkQONbN1wiK0bD3F4X0Of40qVkvKpufHW3ox5xdjSxEgwgUAwOH5fkKrK+rjDfGDPsX45lDJzrCxaOoVFy6YyZ2Hp6Ju25K674K23oLIy2TVJKkIUJQAhikYX4XCEfbvq2PhGJe+/vZ+O1r4jTqbMLGD+kknMWlDCtDmFGIxi+guBQHDmhENhqquaqdxRx+6tR9m9rbpPTjKdXsOCJZO48JKZLFo2dXRMufPxj8tznr35ZrJrklSEKEoAQhQln3A4wv5ddWxcW8mmdfvoanfFj+kNWuafV86iZVM598KK8TeKRCAQjCp83gB7ttewdcNBtm041GeeN61OzTkXVLD0kpksWjYleY2y88+HSZPgmWeS8/6jBCGKEoAQRckhEomwf/cxWQi9ua9PDhKzRc+Si6ZzwaoZzF1YNvqsa4FAMCGQJImjB5vYtG4f766tpKGuI35Mq1Oz8MIpLL10JgsvnDKy2bZLS+GGG+DBB0fuPUchQhQlACGKRo5IJMKBPcfZ+EYlm9ZV9ukaM1n0LFk5jQsvmcm8xeViigyBQDCqkCSJ6kPNvLu2ko1rK2k81iOQdHoN515YwdJLZ7HwgorECiRJkkecPfIIfPnLiXufMYAQRQlAiKLEEolEOLi3nnffqOTdtZV9rGijWceSFdO48NJZzFtcLnIFCQSCMUHMQdq4tpJ339jbZ2JonV7DomVTWHrJLM65YPLwT2zb2Qnp6fD3v8tzn01ghChKAEIUDT+SJHHww3o2rt3Lpjf30dbcM3TeaNZx3vJpLL10JvPOmySEkEAgGNPIo2SbeHftXja+UUlzQ49A0hu0LFo2hQsvmcm5F1Sg0w9DKEBlJcyaBe+9B0uWnP31xjBCFCUAIYqGj6b6Tta9vou3/rW7z43BaNKxeMVULlw1kwVLJokYIYFAMC6RJInD+xvZ+MZe3l1bSUuvaYWMJh0XXDKDS66az4z5xWeeB2ntWrj0UqipgZKSYan3WEWIogQgRNHZ4XH7eXdtJete38XeHbXx/QajlsXLp7L00llCCAkEggmHJElU7Wtg4xuVvLt2b59ks7kFqVx81TwuunIeOfmnmWD26afhttvA5wPdKEgPkESEKEoAQhSdPpFIhN3bqln3+i7eW7c/ntNDoVAwb3EZq66az3krpw1/X7pAIBBECUckttV00ur0kWXRs7A0DZVydGahjkQi7NtZx5v/2sW7b1Ti9QTix2adU8Kqq+dz4aoZQxvi/+CD8LOfQUfHqcuOc4QoSgBCFA2d+tp2uXvs37v7xAkVlGTIrZ6PzCEzx5a8CgoEggnBmsom7v/Xfprsvvi+XKue+66czuqZo3uSVJ8nwHvr97Pu9V3s3lodn5dNp9dw4aoZXHzVPGafW4pSOchcbF/+MrzzDuzdO3KVHqUIUZQAhCg6OS6Hlw1v7GXd67s4sOd4fL/ZomfZ6tlcfNU8ps4uGN3zBAkEgnHDmsom7nx+Jyc+pGJ3oMdunj/qhVGMtuZu3vrXbt58fTcNde3x/Vm5Vi66ch6rrppHXlF635M++lFwueCNN0a4tqMPIYoSgBBFA1N7uIW/PrmRTW/uIxgIAaBUKlhw/mRWXTWPxcunijghgUAwooQjEhc8vL6PQ9QbBZBj1bPp2ytHbVfaQEiSxIEPj7Pu9V1sWLMXt7Pn75s+r4iPfeoCzlsxTW58nnceTJ0KTz2VxBqPDkbq+S3GSE9gao+08Jc/vM27a3smGiwuz2LV1fNZccUc0jPFNBsCgSA5bKvp7COI5tcf4Cdv/JbrP/kQdoMFCWiy+9hW08l55emDX2iUoVAomD6niOlzivjcNy9nyzsHWff6LnZsPsz+Xcf44a4XKJuSw02fX8mSpiYUK1cmu8oTCiGKJiBtzXae+/1bvPnarngf9wUXz+Djt19IxYx80T0mEAiSTmsvBwVJ4jvvPMXU9jquPPguz8+7fOByYwydXsOy1bNYtnoWHa0O/vXSVl574X2qDzXzo6/+hX8fr6c1qCUv2RWdQAhRNIFwO3387cmNvPL8ZgJ+uZvsgotncNPnV1BakZPk2gkEAkEPWRZ9fH1ZzU7ObdhPoyWDayvX9xFFvcuNZdKzUvj0V1bx0U+dzz+ffY+3nlqHOhLmz3/dS8T/F27/6iUUlmYmu5rjHiGKJgDBYIj//G07L/zxbRzdHgBmzi/mM3evZurswiTXTiAQCPqzsDSNXKue5m4vd7/7PNvzp/Ps/Cv4zb8eoaSzgbq0fHKs8vD88YTFauTTX17FNbPMsOKndOpSOPD2AbZuPMTq6xZw0+dXitCGBDLIOEDBeECSJDa+sZfPXv0r/vDwf3B0eygqy+S+X93EI099RggigUAwalEpFdx35XRWHdnKnObD/OLCm1k7eTEOrZFr970DwH1XTh9TQdang80vzx35zSe/zJKV04iEI/z379u5/Ypf8Nzv3sLj9ie5huMTMfpsnPLhBzU88Ys1VFU2AJCaYebWL1zEJdfMR6VWJbl2AoFAMAQiERzTZlEV0vGxj/8IgIf/+ysuqN/L3g07WD1rHEfbPPUU3H47+P2g1VK5s5YnfvEGBz+U06XY0kzcfOdKVl93DmrN+L+niyH5CWAiiKLaIy089cu1bN14CJCn4PjYbRfy0VvOR28UWacFAsEY4m9/g+uvJ/zuJrblTqXV6WPS/h3MuOlqePdduOCCZNcwcfz4x/DLX0JbW3yXJEm8t24/T/5qLY3H5CzX+cUZ3P7VS1iyctq4HiQjRFECGM+iqKPVwXO/f4u1r+4kEpFQqpRc/rFzuenzK0hNNye7egKBQHB6hMMwcyaUlsJ//9uzPxKR9116KfzpT8mrX6L54hdh0ybYs6ffoVAwzH//uZ2/PPY29i43ANPnFvGZu1czfW7RSNd0RBCiKAGMR1Hkdvn4x9ObePnZ9+Lzkp1/0XQ+/ZVVYqSCQCAYuzz3HNx6K2zfDuec0/fY974Hv/0tNDeDfnyMPuvHddeB1wv/+9+gRQa7/9921yUUlGSMVE1HBCGKEsB4EkUTsaUgEAgmCMEgTJsGs2bBK6/0P37okJzp+W9/g49/fOTrNxIsXgzTp8OTT56y6EToKRCiKAGMF1H0waYqHnv4v/H5cyZKn7JAIJggPPEE3HGH3HU0e/bAZRYtguxseP31ka3bSFFUJDtlDzww5FMGiin95GdXcM0t56HRjO0MPEIUJYCxLoqaG7r40yP/ZfP6A8DEG30gEAgmAH4/VFTI83699NLg5X77W/ja16CxETLHWahAJAI6HfzqV/CFL5z26SeOPi4oyeAL3/kI88+bNNw1HTFG6vkt8hSNEd7+7x4+e82v2Lz+AEqVkutuPZ8///trfOT6RUIQCQSC8cMTT0B9PfzgBycvd8MN8vJkwmms0t4OoRDknVnKgdnnlPLL5z/H1390HbY0E/W17Xz3c0/zq/tfJRwKD3NlxxfCKRoD/POZTTz+8zUAzD63lC985yOUTMpOcq0EAoFgmPF6obwcVq2CZ545dfmrr5adou3bE1+3kWTPHpg7F7ZskbsJzwK308fzj63ntRfeJxKRWLh0Ct/96fVjLkWLcIoERCIR/vjIf+OC6Nqbl/DQ47cJQSQQCMYnjz0Gra3w/e8Prfytt8IHH8CBA4mt10jT2Cgvz9Ap6o3Joudz37qc7//yJnR6Dds2HuLbn3mS7k73WV97PCJE0SglEAjx8D1/55XnNgNwx9dX87lvXY5SKf7LBALBOMTlgocekrM4l5cP7ZyPfARsNnn4/ngiJopyhm+i7sXLp/LQ47eTYjNyqLKer3/qTzTVdw7b9ccL4gk7CnE7fdx75zNsWLMXtVrFtx78GB/91DjO3CoQCAS/+Q3Y7XIOoqGi08H118Pzz8vByeOFxkbIygKNZlgvO21OIT9/5g6y8mw01HVw9y1/4vD+xmF9j7GOEEWjjI5WB9+47Qn2bK/BaNLxw9/fwsor5ia7WgKBQJA47HZ45BF5GH7RaeZZu/VWOH4cNmxITN2SQVPTsHSdDURhaSaPPvc5yqbk0NXh4lu3P8GOzYcT8l5jESGKRhHHqlv52i1/pKaqmdQMM4889RnmLx67QygFAoFgSDz6qBxk/d3vnv65550nd7eNpy60xkbIzU3Y5dMzLTzy1GeYu6gMryfA97/0HG/9e3fC3m8sIUTRKGH/7mPcfevjtDbZyS/O4NFnP0v51MT9KAQCgWBU0NEhi6IvfOHM3BGFAm65Bf7+d/B4hr9+yaCxMWFOUQyTWc+Pfn8ryy+bTTgU4ZHv/oO/P/kuE2hA+oAIUTQK2Lx+P/fc8SQuh5epswr4xbN3kFOQluxqCQQCQeL52c/kyV+//e0zv8bNN8uB2q+9Nnz1SiYjIIoANBq1HLN66/kA/PmXb/CHh/9LODyO4rNOEyGKksx//raNB+5+kYA/xKKlU3joiduxppqSXS2BQCBIPK2t8Otfw1e+IgcWnynl5XD++fDss8NXt2QRicgT3Y6AKAJQKpXc8Y3L+Ow3LwPgtRfe58Fv/ZWAPzgi7z/aEKIoSUiSxDO/XcdvHnidSERi9XUL+P4vP4neMLYSagkEAsEZ89BDoFbDN75x9te65RZYu1YWFGOZtjbZOUtgTNFAXHfL+dzz8CdQq1VsenMf/3fnM7gc3hGtw2hAiKIkEA6FefQHr/Din94B4KbPr+Cu+65BpRbTdQgEgglCQ4OcrPHuuyFtGMIFPvEJWWC98MLZXyuZDGPixtNl+WWzeeCxWzGadOz9oJZvfPoJ2lscI16PZCJE0Qjj9wW5/6svsPaVnSiVCu76/tXc8oWLxOz2AoFgYvGTn4DRCF/96vBcLzUVrrxy7HehJVEUAcxdVM7Pnv4MaZkWao+08LVb/six6tak1CUZCFE0wjz20L/ZtvEQOr2G7//yJi772LnJrpJAIBCMLHV18Pjj8M1vgtU6fNe99VZ53rAPPxy+a440jY3yiLrs5E3nVDYll0ef+ywFJRm0Ndv53p3PTJgYIyGKRpD62nbWvroTgPt+dROLl09Nco0EAoEgCfzoR7Kz8+UvD+91V6+G9PSxnbOoqUkOOlerk1qN7LxUfv7MHWRkpdDaZOe/fx9nk+4OghBFI8hzv3+LSERi0bKpzD9PJGUUCAQTkCNH4Omn4Z57wDTMI221WrjxRvjLX+Rg5bHICA3HHwrWVBM3fX4FAC89sQGfJ5DkGiUeIYpGiOqqZjas2QvArV+8KMm1EQgEgiRx//1y19DnP5+Y699yi+y2vPVWYq6faEaRKAJYdfV8cgvT6O5089qL7ye7OglHiKIR4vnfyz/QpZfOFJmqBQLBxGT/ftnF+b//A4MhMe9x7rkwZcrY7UIbZaJIrVFx850rAfj7U5twO31JrlFiEaJoBKja18Dm9QdQKhXxL5dAIBBMOH7wA3nC1//3/xL3HrFpP15+Wc5yPdZoahrxHEWnYvllsykqy8Tl8PLyc+8luzoJRYiiEeDZ364DYOUVcygqO4usrQKBYFwRjki8f7SD13Y38P7RDsKRcTzv1J498vxk994LOl1i3+vmm+V50F5+ObHvM9yEwyOazXqoqFRKbvmCHPbxynObcXSPkznmBiC54e0TgMqdtXzw3mFUaiWfjAasCQQCwZrKJu7/136a7D3dEblWPfddOZ3VM0eXUzAsfP/7MGmSPGw+0RQXw7Jlcs6ikXi/4aK1VZ7mY5SJIoDzL55O+dRcjh5s4h9Pv8vtX7002VVKCMIpSiCxqTwALrlmPnmF6UmukUAgGA2sqWzizud39hFEAM12H3c+v5M1lU0nPX/MOUzbt8Prr8N994FGMzLveeutsH491NePzPsNB0lO3HgylEplfJDQay9sobPdmeQaJQYhihLIrq1H2ftBLRqNik9+dnmyqyMQCEYB4YjE/f/az0AyJrbv/n/tH1TorKls4oKH13Pj41u466Xd3Pj4Fi54eP0phVRSufdemDZNHi4/UnzsY3I33V/+MnLvebY0Rf8PR6EoAli4dApTZxXg9wX56xMbk12dhCBEUYKQJIlnfyO7RJd/fCGZObbkVkggEIwKttV0xh0idTjEDbvX8Ik9a7mwZifl7ccxBLw02X1sq+nsd+7ZOkxJYdMmeOMNeSi+agTnd0xJgWuukbvQpFHupMVobASlUk7eOApRKBTc+uWLAfjv37fR1tyd3AolABFTlCC2bTzEwb316PQarv/M0mRXRyAQDJFwRGJbTSetTh9ZFj0LS9NQKYdvbsLWXkOav7XhGT6z/VUAlL28I7vOBC8XwuQyKCyEwkIi+QX8a1M7RaoUmi0Z+NXaeHkJUCA7TKum5wxrfc+ae++FOXPgox8d+fe+9Va4/HLYtQvmzx/59z9dGhvlHE4jKR5Pk3mLypl1Tgl7P6jlhT+9w13fvybZVRpWTlsURSIRlMr+BlMkEqG+vp6ioqJhqdhYJhKJ8Ozv5LxEV924mLQMS5JrJBAIhsJIBD9nWfQArDyyjc9uf4Ufrfh/PLvgI2Q7O8hztpPraCPP2c6nClRYHW2wdSv84x8oOzr4Xa/rHLNmc9vHf8DR9EJAFkYxh+m88lESv7h+PbzzDrz2muyAjDSrVski47nnxo4oGqVdZzEUCgWf+uLFfOO2J1j76k4+ftuF4ypedsjfUofDwSc+8QlMJhPZ2dl8//vfJ9wrjXpbWxulpaUJqeRYo6aqhaMHm9DpNXz8tguTXR2BQDAERqpramFpGnMkBz//z6OsKz+XP597DUGVhnpbDtsKZ/L6jBW8euktZD77hBycvGsXtLfz782HWXHHH/nk9Q/wjcu/iqRQ8IM3/9iva6h1tCTXkyT43vfkZIpXXpmcOqjV8MlPwgsvQCiUnDqcDk1No14UAcxcUMK8xeWEQxHe/s+eZFdnWBmyU3TvvfeyZ88ennvuObq7u3nggQfYuXMnL7/8MlqtbONKY6XfNsH4o7MJp2WYSbEZk1wbgWBiEusGa3b46HT5STNpybEaBuwOO1Xw83B2TanCIZ5e+ws8Gj3fvOJrcrLBKLG1+66c3u990rNSqUnLpyYtH4B2o5Wn/3E/q6s2s2bK+fFyMScq6axZA++/Ly8VSezOu+UWePRRWLtW7kobzTQ2wjnnJLsWQ6JkUja7thzF7x8DYvM0GLIoevXVV3nmmWdYvnw5ANdccw1XXHEFV155Ja+//jog22oCgUAw0tS0uln9qw34w7KsyTFAVwD8A8wJ2rs7LCac3jvS3uMQSRJXHdiILhTg77NXybsYxq6p73+f1L27OPT0y+iPm6CXM5Vzkq66haVp5Fr1NNt9SMA75efy5qSF3PvWE7xTtgC/Rk+OVY6BSjqSJMcSnX8+XHJJcusydy7MnCkHXI8FUTQGnKLxzJBFUVtbG8XFxfHtjIwM1q1bx6WXXsrll1/OE088kZAKnsjvfvc7HnnkEZqbm5kzZw6/+c1vWLhw4Yi8t0AgGH2Ufec/nDh6vdk7ePmmaHfYZ5eW8vqepj7dZSa/hwfW/p5r978DQIG9hUcvuCnudJx119SaNfDQQ/DQQyy++So2nUZQt0qp4L4rp3Pn8ztRIAu1H628gzf//AW++P7f+cXSWwZ0mEaK3gHqU7asZ+qOHfD228l1iaBn2o/77gO7HazW5NZnMEIhaGkRoijJDDmmqKioiAMHDvTZZ7FYWLt2LV6vl2uvvXbYK3cif/3rX7n77ru577772LlzJ3PmzOHSSy+ltbU14e8tEAhGHwMJoqEgAX/cWNNHEM1sPsK/n7mLVUe28pUrv8GDyz/NXZtf4t71T8TjdjLMujNPmtjQID+cL7sMvvlNQBY655Wnc/XcfM4rTz+loFk9M5fHbp5PjlXuIjuWmssfFn2Uz217mWeWpiYtE3bv3ElffXEn3HsvH5TNY03GlKTUpx833QR+P/zjH8muyeC0tMjfMyGKksqQnaJVq1bx1FNPcfkJ9qPZbOaNN95g1apVw165E/nFL37BHXfcwW233QbAH/7wB/7zn//w5JNPcs899yT8/QUCweihptU9oCBSSBEkhdzeW3RsLyuObqfBmsWHOZPZkzfAQ1qSuP2D17nnnac4lFnMpz9+P3Wp8oPJrTXywNrfYw54+em1X+Xrf9tNs8MfP3XII9NCITngV6uFZ545q5FYq2fmsmp6TtyVybl5NporNrP09z+By/99xtc9U2IB6rH/iisObmJqex0fvfRL7Hx+J4/dPD/505bk58NFF8mj0BI5Ge3ZEEvcOMomg51oDFkU3X777egGmcTPYrHw5ptvsnPnzmGr2IkEAgF27NjBd77znfg+pVLJxRdfzPvvvz/gOX6/H7+/5wbmcDgSVj+BQDCyrP7Vhvi6MhJm7Z+/iDYcJNfZzpuTFnEgq5S73nuRLkMKVp8LbSTEQ8s+zR8WfTTepTOj5Sj3vP0UF9bt5olzruanyz5NQN0zDcXz8y7Ho9HzyH9/iTHg5Wsf+Tqoem6bsZFpp3zw33+/nMTw7bchM/Os//aYwxTn0UflPED//jd85CNnff2hcmKAuioS5mubXuDtsgXsKJg2unIn3Xqr/KqthZKS5NZlIEbxFB8TiSE3VxYsWMAVV1zB7bffznPPPUf9CfPJWCwWli1bNuwVjNHe3k44HCY7O7vP/uzsbJqbmwc858EHH8RqtcZfhYWFCaufQCAYWWJB1QD6UICDmSXUpOXz+vRlzG2q4uub/sJf5l3G4i8+w9Sv/5NfLbmBezY8zY/X/o6yjnp+/fpP+c/Td5HnbOfTH/sBD1x0Rx9BFOP98y/nm5/4Py6tep8/vPJjdKFA/NhQpuVg3Tr48Y/hhz+EpQlK5HrttXJA8113gW/khuT3zs4NcF3lW5R31vPzC28B+gaoJ51rrwWjcfRO+9HYKCdtHAbRLDhzhuwUrV+/nnfeeYd33nmHF198kUAgQFlZGStXrmTFihWsWLGin2BJNt/5zne4++6749sOh0MII4FgnKBTKeLCyKM18KVrenWhSxLmgBeXriclxqMX3ky9NYufvPE7btq9hiZzOt9e/WX+Metiwsr+GYS/tKKc8ydlEolI3GT30f7Re/njKz/hyX/8gDuv+S4OvVl+K3oe/AtL0/oGTuv9qG66CS6+GHq53MOOQgG//jXMmgU/+5mcH2gE6B14vqx6Bw+sfYyXZ6ygMmfSoOWShtksu2nPPgvf/W7yA8BPpLERcnJGdTbricCQRdHy5cvjw/F9Ph+bN2+Oi6RnnnmGYDDI1KlT2bdvX0IqmpGRgUqloqWlpc/+lpYWcnJyBjxHp9MN2uUnEAjGNmvuWsaKX7wz8EGFoo8givH32ZdwzJbL1LZaXpp9CX5N//uDAnlo/NdWTUGlVPDa7gYANpYt4NZP3M+f//FD3v/9p3llxgqenX8FVZklAKzb38zdf9sdd06UkTB/++d9zIyA/rnnEp/RecoU+NrX4Cc/kQO6e40WThSxnEhLq3fwp5cfYGPpPO5Z/ZVByyWdW26R44q2b4fRNmq5qUnEE40CzuhXqtfrWblyJd/73ve4//77+cpXvoLZbObgwYPDXb84Wq2WBQsW8NZbb8X3RSIR3nrrLc4777yEva9AIBidlGaZOJMwla1Fs3hmwZWDCiLomzyx9wN9e+FMLrrjD/xp4XVccngLa5/8Ei+8+F0uPbSZp9892qcr6cub/8q8mg+57eKvsqYtcvoVPRO+9z1ITYWvf31E3m5haRrXtOzl8Zcf4N2SuXzx6u/06YJUIAejj4rcSQArV8oxO88+m+ya9EfkKBoVnJYoCgQCbNy4kfvvv58VK1Zgs9n4/Oc/T1dXF7/97W+pqalJVD0BuPvuu3n88cd55plnOHDgAHfeeSdutzs+Gk0gEEwsqh+8YkjCaKjaKceq7xc0HUuaGLtGmzmNX13wSc6/80m+fOU30YRD/PHVn7DxD5/hC+//jTSPnfPqPuSu917k10tuYEvx7JPHHA0nFovcffbPf8Kbbyb87VRvruXnL/yATSVz+eI13+0niGDg7NxJQ6WSh+e/9BIEAqcuP5IIUTQqGHL32cqVK9m6dSulpaUsW7aMz33uc7zwwgvkjqDdd/3119PW1sb3v/99mpubmTt3LmvWrBl1sUwCgWDkqH7win4Zraema5lXnsU5RWnkpRrpcvv54gu7APpM5RFLgnj7+SWsmp4zYPLEgZImAgRVGv49fRn/mr6MGc1HuHXnf/jK5pe4670X8au1bCmaxW+WXD/yE7XecAP88Y/w5S/Dhx/KaQASwdq1cPXVqFZdTOiHvyXtjb5O2cmycyeVW2+FRx6B//0Prr462bXpQYiiUcGQRdG7775Lbm4uK1euZPny5Sxbtoz09JGfGfdLX/oSX/rSl0b8fU8HS4oBgLZmB80NXeTkpya5RgLB+KY0y8ShH598CofHlAru/9f+M3pwx5ImDnT+ZTNzePI9+Pbld/Hgitu4/sO1LDpWybcv+wqRXgHcIxZsrFDAb34D8+bBr34VTxQ5rKxdC1ddJQeQ//OfXKrTcfHc4iFn504qM2fKU38899zoEUXBILS1jRlRJEkSlTtrAbBYDMmtzDCjkIY4i6vb7ebdd9/lnXfe4e2332b37t1UVFSwbNmyuEjKHOVDCR0OB1arFbvdTkpKSkLf6547nmT31mouuXY+d99/XULfSyAQDI3waUyrMdTzt9V0cuPjW0557ot3LB4ZpyjGV78Kf/4zHDwoJy8cLt58UxZEF10kd9ONxcEsjz4K99wDzc1yDFayqa+HwkL4z39G//xswOb1+/nhV19Ab9Dy9H/vxpZuTvh7jtTze8gxRSaTidWrV/PQQw+xdetW2tvb+elPf4rRaOSnP/0pBQUFzJw5M2EVHWt86ktyhu91r++mvrY9ybURCARw+tNqDOX8E2OOTiRpwcY/+IGcl+db3xq+a8YE0cqVY1cQAdx4o5xl/G9/S3ZNZMZQ4sZIJMKzv5UHPF1z83kjIohGkjMeI2oymUhLSyMtLY3U1FTUanW/udEmMtPmFLJo6RQi4Qh/+cP6ZFdHIBAkiFjMEfQP6E5qsLHNBg8/DC+8ABs3nv311q3rEUQvvzx2BRHI+YAuvXT0jEIbQ6Jo4xuV1B5pwWTR89FPXZDs6gw7QxZFkUiEbdu28dOf/pTLLrsMm83GkiVL+P3vf09OTg6/+93vqK6uTmRdxxy3fPEiAN75315qD7ecorRAIBirnDhRa4yBRrONKLfeCosXw5e+JDsjZ8q6dXDllbBixdh2iHpz662weTMcPZrsmsg5itRqyMhIdk1OSjgU5rnfy438j37q/Hj87HhiyIHWNpsNt9tNTk4OK1as4NFHH2X58uWUl5cnsn5jmknT8rhg1Qw2vbmPZ3//Ft9/9JPJrpJAIEgQJ07UOiqCjZVK+O1v4dxz4bHH5BFpp0tvQfTyy6AfJYkYz5arr5ZTGDz3nNzVmExi2awTneDzLHnr37tpqGsnxWbkmpuWJLs6CWHIouiRRx5hxYoVVFRUJLI+445bvnAR763bz+a39nN4fwOTpw9jwKNAIBhV9JuodTSwYAF87nNw773wiU/A6aQweestWRAtXz6+BBGAwQAf/7gsiu67L7nTfoyB4fjBYIjn//A2AJ+4fSlG0zhwCwdgyLL0c5/7nBBEZ0BxeRYrrpgNEA9OEwgEghHlgQfkxIWnM//aW2/BRz4iC6JXXhlfgijGLbdAdbXcjZZMxoAoeuPlHbQ2dpOaYeYj14+yKVKGkdHt1Y0Tbr5zJUqVku2bqti3qy7Z1REIBBON9HR5TrSnnoItp04f0MchGq+CCGDpUigqkt2iZDLKRZHfF+TFx98B4MbPLkdvSFBC0FGAEEUjQF5hOpdeMx+AZ3+7Lsm1EQgEE5LPfAbmz5eDrsPhwcutXy8LoqVLx7cgAjmG5+ab4a9/Bd8IJdcciFE+Gex//r6NjlYnWblWVl93TrKrk1CEKBohbvzscjQaFXu217B76ygY7SAQCCYWKpUcdL1jh5zUcSDWr5e7zJYuhVdfHd+CKMYtt0B3t5w4MRkEAqM6m7XX4+evT8gpHT75uRVotUMORR6TCFE0QmTl2rjs4+cC8Mxv1zHEROICgUAwfJx3Hnz60/Cd7xBua+f9ox28truB9492EH5rAgoigKlT5dF5ycpZ1NwsL0epKHrthS3Yu9zkFaVz8ZXzkl2dhCNE0Qhy/f9bhk6v4cCe46x5eUeyqyMQCCYiDz1EMBji1Stv58bHt3DXS7v59ff+RPCyy2mft3BiCaIYt94K//0vtCdh9oFRnLjxeE0bf3/qXQBuvnMFao3qFGeMfYQoGkHSMy18LJoB9Ff3v8o/n9mU5BoJBIKJxpq2CD9ZeAPXbv03M5qPsPjYhzz5j/vZlj+dCxZ/hTVHupJdxZHnhhuQgJrf/LnHOYuMkJvf1CQvR1lM0YE9x/n6px7H7fQxaVoey1bPTnaVRoTx3Tk4CrnpzhW4nD5ee+F9Hv/5GjranHzm7ktRjvKkXQKBYOwTjkjc/6/9tM6/guv3vMEv//1zCuytbC+Yzh3XfY+ARsf9/9rPquk5o3OG+wSxpjmIcfK5pDz+JHf55Tk8c6167rtyeuKzkTc2gkYjjxAcJWzdcJCffPOv+H1BJs/I50e/uxWVamI8oybGXzmKUCqVfP7bl/P/vnYpAC8/+x4P3/N3AoGzSMEvEAgEQ2BbTSdNdh9hpYr7Vn2eyR3H44LIr9EhAU12H9tqOpNd1RFjTWUTdz6/kxcrljG3qYqyjnoAmu0+7nx+J2sqmxJbgcZG2SUaJQ3j//3zA+6/6y/4fUHOvaCCn/75dmxppmRXa8QYHf8LEwyFQsHHb7uQb/7kY6jUSjas2cu9dz6D25nEIaECgWDc09rrHrO1aBZXfPpX3PHRe/FrdIOWG8/EnDMJWD9pIXadiWv3yVmbY51n9/9rf2K70kZJjiJJkvjLH9bzq/tfJRKRWHX1PO771U0YjOMzc/VgCFGURC76yFx++NtbMBi17Nlewzdue4KOVkeyqyUQCMYpWZa+AdT7ssvxq/sn4jux3Hgl5pwB+NVa/jP1Qq7dtx5lRM7jNCLOWVNT0kVROBTm1z98LT7Z6w13LOPuH143IQKrT0SIoiSzYMlkfvrkZ7ClmaipauZrt/6J4zVtya6WQCAYhywsTSPXqmewaCEFcizNwtK0kaxW0jjREXth7moKHG1cdmjzScsNK7HusyTh8wb40d0v8r9/foBCoeCL372ST395FYpkzgWXRIQoGgVMnp7Ho89/jvzidFobu7n71j+xf/exZFdLIBCMM1RKBfddOR2gnzCKbd935fQJE2R9oiNWmTOJd4vn8oUtf4deueQS6pwlsfvM0e3hO599ii3vHESjVfO9X9zIlTcsSkpdRgtCFI0ScgvS+Pkzn2XKzAKcdi/33PEk7799INnVEggE44zVM3N57Ob55Fj7PuhzrHoeu3l+4kdbjSIGcs5+f97HmdFazfLqHYl3zvx+6OhIiihqbuji7lv/xIE9xzFb9Dz4p09z/kXTR7weow2FNIFSKzscDqxWK3a7nZSUlGRXZ0B8ngA//uZLbH+3CqVSwZe+dxWXf+zcZFdLIBCMM8IRiW01nbQ6fWRZ5Af/RHGIehMbfQbR4GpJ4pXnvkFQpeb6mx5OrFCsq4OSEnjjDbjkksS8xwAcPdjEvV98ls42J5k5Vh547FMUl2eN2PufCSP1/BZO0ShDb9Tyg1/dxCXXzicSkeTgt9+9JaYFEQgEw4pKqeC88nSunpvPeeXpE1IQwQDOmULB78/7OAvr9/HijFBinbNYNusRjCnavfUo37ztCTrbnJRMyuYXz3521AuikUQ4RaMUSZJ47vdv8cIf3wHg0msX8JV7r0KlnnijAQQCgSDR9HHOTFoWX7McRWkp/PvfiXvTf/4TPvYxeXqREUje+M7/PuRn//dPQqEws84p4b5f3oQ5xZDw9x0ORur5LTJaj1IUCgW3fvFi0rNS+N2P/8Ubr+ygq8PFd396PXpj/yG0AoFAIDhzYs5ZnHvukedE+/BDmJ2gKS4aG0GrhbTEjvaTJImXn9vM4z/7HwAXXjKTb/74o2h1moS+71hEdJ+Ncq74+EK+94sb0erUbNt4iM9/9De8//YB0Z0mEAgEieSGG6C4GB56KHHvERt5lsDh78dr2vi/O5+JC6KrP3ke3/npJ4QgGgQhisYAS1ZO56HHbycjO4Xmhi7uv+svfP+Lz9FQl4QZnQUCgWAioNHAN78Jf/0rHD2amPdoakpYPJHX4+fJX77BnR/9LTs3H0GjUXHHNy7j89++XMy1eRJETNEYwuvx8+LjG3j5mfcIhcKo1Squ+MRCbvzs8gk1N41AIBCMCF6vPDrs2mvhD38Y/utfcgmkpMA//jFslwyHwqx5ZQfP/349XR0uAM69oILPf/ty8oszhu19RpqRen4LUTQGqa9t548//S/bN1UBYDTp+MTtF3LNzUvQG0S8kUAgEAwbDz4IP/gB1NQMfz6hmTNh5Ur49a/P+lKSJPH+2wd48pdrqa+VexFyC1L57DcvZ/HyqWM+Q7UQRQlgvIiiGDu3HOHPv3iDowflWZzTsyzc+sWLufiqeahUwh4VCASCs8Zuh6Ii+Oxn4ZFHhvfaaWnwrW/JQd1nwf49x3jiF2vYv0ueCcGaauSTn1vB5R8/F41mfIynEqIoAYw3UQQQiUR4538f8vRv1tHa2A1AyaRsbv/aJZx7QcWYbx0IBAJB0vnud+E3v4FjxyA1dXiu6fOBwQDPPCOPcjsD6mvbefrXb7Jp3T4AtDo1191yPh+/7UJM42xSXyGKEsB4FEUxAv4g/3ppKy8+vgGXwwvAnHNL+X93r6ZiRn6SaycQCARjmNZWeSTad78L9947PNesqYGyMli7FlatOq1Tuztc/OWPb/Pff2wnHIqgVCq4+Op53HLnRWTmWIenfqMMIYoSwHgWRTGcDi9/fWIDr72whWAgBMDyy2bz6S9fTE7BxJj5WiAQCIadL30JXnpJnprDNAwDW957Dy64ACorYcaMIZ3i8wR4+fn3+PuT7+L1BABYuHQKt991CSWTs8++TqMYIYoSwEQQRTFaGrt49rdvsf4/e5AkCbVaxZU3LOLGzy4nxWZMdvUEAoFgbFFbC5Mmwc9/DnfddfbX+/vf4ROfgM7OU3bJhUNh1r66k+ceW09nmxOAydPz+Mzdq5mzsOzs6zIGEKIoAUwkURTjyIFGnvzlG+x8X86zYbLouf7/LeXqT56HTi+SdwkEAsGQufVWePttOW+R9ixH+v761/Dtb4PHM2jyRkmS2LrhEE/+8g2OVbcBkJOfyqe/soqll86cUPmGhChKABNRFMXYsfkwf370DaoPNQOQkZ3Cp750MSs/MleMVBMIBIKhsG+fPIz+ySfhttvO7lr33AN/+xtUVw94+NDeep54dA17P6gFwGI18MnPruCK6xei1Y6PEWWngxBFCWAiiyKAcDjC2//ZwzO/XUdbsx2AksnZ3PS5FZx/8fQJ1eoQCASCM+Kaa+DgQVkgqc5igu5bb5UF0aZNfXZXVzXzwh/e7jOi7JqbzuMTty8dM5O3JgIhihLARBdFMQL+IK+9sIWXntiA2+kD5GH8H7vtAi64aIaYcFYgEAgGY+tWWLxYjgn62MfO/DoXXyznKfrb34hEIlTurOPVv7zP5rf2A/Kk4BdfNZdbv3gRmTm24an7GEaIogQgRFFfnA4vrz63mVf+shmPyw+AwajlwktnsurKecxcUCLyHAkEAsGJrFwpJ3X84IMzn8x1xgzc513Iy/M/zrrXd9ESzTOnUChYeulMbvzsckomje8RZaeDEEUJQIiigXE5vPzrpa288coOmhu64vtzC1K56Mp5XHzlXDGcXyAQCGKsWyfnFnrjDXn+stPA4/bz7tpKLrxhKS+mLeLvmUsAebqmCy+ZyXW3nk9xeVYiaj2mEaIoAQhRdHIikQj7dtbx5r928e4blfE8GACzzilh1VXzuGDVTIwmXRJrKRAIBElGkmDhQjCb5dFopyAcjrBnezXrXt/Fe+v2g8fDa/t+yiOFV9F12TWsumo+562cJuauPAlCFCUAIYqGjs8T4L31+1n3+i52b60m9jXR6TVccPEMVl09j9nnlorgbIFAMDF5+WX46Efh/fflGKMBqK9tZ93ru3jr37vjg1sA5mXCg+t/TPffXsP28atGqsZjGiGKEoAQRWdGW3M3b/1rN2++vpuGuvb4/qxcKys/MpeLr5xHQUlGEmsoEAgEI0wkImeirqiA116L73Y6vGx8Yy/rXt/FgT3H4/vNFj3LVs9m1dXzmNJdg2LZMti/H6ZNS0btxxxCFCUAIYrODkmSOPhhPW++vpMNa/bGR64BlE/NZemlM7nwkpnkFaYnsZYCgUAwQjz9NNx2G573t7O5VcXGtZXs3HyEUCgMgFKpYMH5k1l11TwWL5+KVhdNmPu3v8H110NXF9hsSav+WEKIogQgRNHwEfAHef/tg6x7fRc73j9CJByJH5s8PY+ll8ziwktmiABtgUAwLnG7fGx9cy/zb72MXdo8Hs7v6QYrmZTNxVfNY8UVc0jPtPQ/+Ze/lCeXdbvPfPTaBEOIogQgRFFisHe52fzWft59s5Ld22r6CqQZ+Sy9RHaQcvJPPr+PQCAQjGbcLh9bNxxk4xuV7HjvMMFgmKvbt/PZpjf53qp7mXHtMi68ZOapR49961tyTNKRIyNT8XGAEEUJQIiixNPd6Wbz+v1sfGMvH26vIRLp+XpNmVnA0ktncsGqGWTnCYEkEAhGPx63n60bDvLu2kq2bzpMMBCKHysszWTFiklc/8NbUd1wPfz+90O76M03w7FjsHFjgmo9/hCiKAEIUTSydHe4eO+t/by7tpIPP+grkKbOKuDCS2ex9JIZIlurQCAYVXg9frZtrGLjG3vZvqmKgL9HCBWUZLD00pksvWQWxZOy5AS3Dzwgv2prISfn1G9w0UWQmQkvvZS4P2KcIURRAhCiKHl0dbh4b90+Nq6tZO8HtfT+2k2bU8iFl8xk8fKpIkhbIBAkBafDywebqnhv3X62b6rC7wvGj+UXp7P00llceMlMSidn98/039UFRUXwxS/CQw+d+s2mTYPVq+HRR4f5rxi/CFGUAIQoGh10tjvZtG4f766tpHJHXR+BVFiaycKlU1i0bAoz5hahUp/FhIsCgUAwCJIkUV/bztYNh9i68SD7dh3rEw+ZV5TO0ktmsvTSmZRW5Jx6yqNvfxsee0zuFjvViDKrFb73PfjmN8/+D5kgCFGUAIQoGn10tDnZ9GYl768/wN6dtYRDPTcls0XP3MXlzJxfwsz5xZRW5KBSiWSRAoHgzGht6qZyZy2VO+vYvbWaxmMdfY4Xl2exePlULrxkJuVTc09v7sfmZigpge9/Xx5ZNhhut5wJ+/nn4aabzuwPmYAIUZQAhCga3bgcXna+f4StGw6xfVMVjm5Pn+NGs47pc4qYOb+YmfNLqJiZ35P3QyAQCHohSRLHqtviImjfzlpam+x9yqjVKmYvLGXR0iksXDqF3LNNIXLnnfDPf8qxRUbjwGWOHIHJk2H9elix4uzebwIhRFECEKJo7BAORzj44XE+3F5D5c46Duw5hsft71NGo1VTMSOfWQtkJ2na3CJMZn2SaiwQCJJJKBjm6MGmHhG0q65fw0qpUjJpWm7cfZ67qHx453KsrpYFz69+BV/60sBlNm6EZcvgwAGYOnX43nucI0RRAhCiaOwSDoWprmphX/SGV7mzlu5Od58yCoWCwrJMKmbkM2VmARUz8ymtyEGrVSep1gKBIBFIkkTT8U4O7a2nal8DhyrrOXqwqU9wNIBWp2bq7ELZXV5QwrTZhRiMCZ7Q+qabYNMm2RHSDOBkv/QS3Hgj2O0gnkNDRoiiBCBE0fhBkiQa6jr6WONN9V39ymk0Kkqn5FAxo4ApM/OpmFlAYWmGmMhWIBhDdLQ5qaqs51BlPVWV9VTta8Tl8PYrZ7bomTFP7l6fsaCYydPz0GhGuFG0dy/Mni1PAfKpT/U//otfyHFHTqfIZn0aCFGUAIQoGt90tjupqmygal89h/bKS6e9/43TaNIxaXqe7CbNyKdiZj5ZubbTC6oUCAQJweXwUrW/Qf4tV9ZTVdlAe6ujXzmNVk35lBwqoq7wlJkF5Benj44Gz5VXwtGjUFkJJ9bnm9+UJ5CtqkpO3cYoQhQlACGKJhaSJNFU3xkVSg0c2lvPkQON/Sx2AFuaSb65zsinfGoupZOzycqzjY4brEAwTrF3uak93EJNVTNV+xs4tLeBhrr2fuWUSgVFZVlx8VMxM5+Sydkj7wINlc2b4fzz5ak8rr2277GbboL6etiwITl1G4M4nF46OrsoK8kXomg4iYmiz93zFDdevYTzz52EWgzxnlCEQ2Hqqtt6WfEN1B5p6ZMKIIbRpKN4UhalFTmUTs6htCKb0sk5mCwimFsgOB2CwRDHa9qpqWqOvlqoPdJMR6tzwPI5+ak9AmhGPpOm5yU+Fmi4WbYMvF7YurVvN9mKFXLW6xdfTF7dxgiHqlt4+X+7eHPTQZadW8wPvn5dwkXRKJXZiWX3vnoqq14nM83M1ZfM4cqLZ5Oeakp2tQQjgEqtoqwih7KKHFZfdw4Afl+Qo4eaqKps4PA+WSQdO9qKx+3nwJ7jHNhzvM81snKtUZEUe2WTX5QuEk0KJjySJNHR6pSFz+EeAXS8tm3AhgdAbkEqJZNzKJ+aG3eBrOPhfvzd78pZq9evl6f1iNHYCPPnJ69eoxx/IMTbmw/xyhu72VfVFN9/rKHjJGcNHxPSKXr0T/9j3eajdEcD9dRqJcsWVXDdZXOZPTVfxJYICAXD1NdFW7aHW+IWf1uzfcDyGq2aorLMqKuUTWFZJgXFGWTn2YRYEow7JEmiq8NFQ2079bXt1BxpiQuggQKgAUwWPaWTsymtyKEktpyUPbxD4kcTkgQLFkBaGqxb17PfYoEf/AC+/vWkVW000txq59W1e/j3W3v7PJuXL67gusvmUZxrxmazie6z4aR3TJHeYOSd96t4ec1uKg81xsuUF2dy3eq5rLpwGkaDNom1FYxGnA4vtVXNfR4CtYdb8HkDA5ZXq1XkFKRSUJJBfnEGBcXp5EfX0zLMQoALRjVul4/GYx3U17RTX9dOQ10HDdHliXnDYihVSgpKMuICKNZQyMyxTrzv+9//Dp/4BGzbBueeK484S0mBv/wFPvnJZNcu6UQiEh98WMfLa3axeUd1fNLwrHRLtBdnFmk22TUUgdYJYLAPtaq6hVfe2M3ajQfwB+TZkE1GLZctn8l1q+dSlH+WWU4F45pIJEJLY3dPvMThFhrqOmg81jFgUHcMg1FLfnEG+cXpFJRkUFCcIQumonQRtyQYMYLBEE3HO2mo66C+tj0ueurr2ulqdw16nlKpIDvPRn5xBsXlWXEBVFiWKXKDxQiHYfp0mDFDDrquqoIpU+Dtt2H58mTXLmk4XD7WvLOPl9fspr6pJ5XKgllFXHfZPM4/p7xfvK8QRQngVB+qw+Xjf29X8sqa3dQ3d8f3nzO7mOtWz2XJAP9RAsFgRCIROlodHK9tp6G2o8/DpqWhK94qGojUdDPZ+alk5VrJyrWRlWcjKye2tGKy6Cdeq1twRgT8Qdqa7bQ22Wlt6qa1sZvW5uiyqZuWxu5Tfhdjwj2/OCO6TCenIE2In6Hw5z/DZz4D+/ZBa6scaH3oEFRUJLtmI87hmlZeXrNrQAPi2kvnUFyQPui5QhQlgKF+qJGIxPY9tbzyxu4+ll56qomLzp/KyiVTmD45F6VSPJQEZ0YgEKK5foDWeW07XR2Dt85j6A1a0jItpGWYSc9KIS3DIm9nWkiPLtMyLEI8jWMC/iCdbU462px0tjnpbO+13uags81FR5tjwFxdJyJcywQSCEBZGZGVF3F03hIm3/15tu6u4ZxZxagmwDOkqdXO2+9XsW7TQaqqW+L7y4syuPayeVwyxFAVIYp6UVtby49+9CPWr19Pc3MzeXl53Hzzzfzf//0fWu3Q437O5ENtarXz2gnBXwCZaWaWLprMssWTmT2tQDhIgmHD7fTRcKyjb4u+2U5rYzdtzd3YuzynvkgUtVqFxWYgxWokxWbEYjOSYjXI69F98rq8L8Uqr4vg8JFDkiTcTh8OuwdntxdHtye6Li8d3V6cdo+8v9sTXfcOGsc2EDq9huw8G5k5NrLyrH1cxzwR35ZwDnzrfib//Ec8N+9yPrZ3HbO+9ndyrXruu3I6q2fmJrt6w05dfQcbth7mnS2H+wghlSoaOL16LrOnnd6gJiGKerFmzRr++te/cuONNzJp0iQqKyu54447uOWWW/jZz3425OuczYcaDIbZuruWt947yHsfHMXT64ZkSzFw4cJJLFtcwYKZRWg04oEiSBw+T4DOdmcfl6CjzRHfF3u5nL4zfg+TRU+K1YDFZsRs0WMw6jCYdBiMWgwmHcbo0mDUxo8ZTTr0Rm3PMZNuXHevhENhvJ4AXo8fjzuAzxPA4/ZHt/34PAG87gAejx+v24/H07PP7fbFBZDT4SUSHni4+qnQ6tSyS5glO4PpmSmkZZqjS0vcQbRYDUL0JIk1lU18/cn32PTY7ZgDHo7Zcrjojj8S+9947Ob5Y14YSZLEkdo2Nmyp4p0th6mt7xk+r1QqmDu9gJVLprD8vApsKcYzeg8hik7BI488wmOPPUZ1dfWQzxmuDzUQDPHBh3Vs2HKYTduPYnf2OEhmo47zzyln6eLJLJpbgl43wISAAsEI4PcFcXS7ccTch9irlwtxojNxNkJqINRqFXqjFr1eg0arQq1Ro9aoousqNGoVGq28T96vRhNdV2tUaDQ92yqV8qynigpHJELBMKFgmGAgJC+DYYLBUK/9J2xHX7FzAv4QXo+fgD80PB9SFJ1eM6Bzl5IadfBi2zZj3P0T3aOjm3BE4oKH19Nk93HXphf42nsv8H7RLG688UEAFECOVc+mb68cc11pkYjE/iNNbNxymHe2VNHY0pOuRK1Wcs6sYpYvruD8c8tJtZ6ZEOrNSImiMduMs9vtpKWdfFSY3+/H7+8ZNupw9J8/50zQatQsWVDOkgXlhMIRdu87zoath9m49TAdXW7e2LifNzbuR69Ts3h+GcsWTWbJgjJMYy0jq2BMo9NryMyRu0yGSjgUxunwRcWUB6fdi9vlw+sO9HFAZPcjgNftj7slPeuB+Ki7UCiMy+EdNHfNeECtVmEwaU9wzbTojbo+rpnBoI0fMxh1vbozjaTYDGhFA2rcsa2mkya73NB4esGVfHbby7SYe55bEtBk97GtppPzygcPMh4thMMR9hyoZ+PWw2zYcpi2zp74R51WzaJ5pfLz7pwyLKaxGYs2JkXRkSNH+M1vfnPKrrMHH3yQ+++/P6F1UauUnDO7mHNmF/O1/3cRlVWNbNhSxYYth2luc/DO+1W8834VGrWKc+cUs2zxZC44dxJWiyGh9RIIzgSVWoUtzYQt7ewyCvd0LcmCye+LuTKhuOMSPNGxCckuTShepq+LM1hG5NNBoZATbcbcKU30pdaoe9yrqEN1onvV+5ze3YXjuYtQcHa09nJe7QYLX7jmO7SZUk9abrQRDIbZUXmMDVsO8+62w31ia40GLUsWlLF8cQWL5pVg0I/93H5J7T675557ePjhh09a5sCBA0ydOjW+3dDQwLJly1i+fDlPPPHESc8dyCkqLCwckQlhJUniUHULG7bIivpYY2f8mEqpYO6MQpYsKGPJgnIK8/r/SAQCgUAwtnn/aAc3Pr7llOVevGPxqHKKHE4vW3bXsvmDo2zZVYOrV6LOFLOeCxZOYtmiyZwzuxjdCDUKJkRMUVtbGx0dJ5/PpKysLD7CrLGxkeXLl7N48WKefvrp057BfKQ+1BORJIma4x1s3Cr3vR6pbetzvCgvjSXnlLFkQRmzp+ajFiN/BAKBYMwTiylqtvsY6EE7WmKKJEmirqGTzR8cZfOOavYebCDcK3dVus3EhYsmsWxRBfNmFCTlGTUhRNHp0NDQwIoVK1iwYAHPP/88KtXp/6ckSxSdSENzN+99cJT3PjjK7v31hHuNPDGbdCyaW8r555SxaF6p6GYTCASCMcyayibufH4nQB9hlOzRZ8FgmN3769m8Q34W9Q6UBigryuD8c8pZsqCM6ZNzUSU57YwQRb1oaGhg+fLlFBcX88wzz/QRRDk5OUO+zmgRRb1xuf1s/7CW9z44ypadNX36a5VKBbOm5MddpJKCdDHSRCAQCMYYayqbuP9f++NB10BS8hR12d1s2VnDezuq2ba7tk9qGY1axbyZhXEhlJtlHbF6DQUhinrx9NNPc9tttw147HSqPxpFUW/C4QgHjjTz3gdH2fzBUY4ea+9zPC/bypIF5Zx/Thlzpheg1YgAT4FAIBgLhCMS22o6aXX6yLLoWVialvAuM0mSOFrXHneD9h9uovcjM81mjI6kLuOc2cWjehJ0IYoSwGgXRSfS3GrnvR3VbN5xlJ17jxMMhePHDHoN584pYeGcYs6dU0L+aQy7FggEAsH4xOHysXPvMbbtqWXrrhpa2p19jleUZslu0DllTCnLGTPTVQlRlADGmijqjccb4IMP69i8o5r3d1TT0e3uczw/x8a5UYE0d3qBiEUSCASCCYA/EOLgkWY++LCObXtqOXCkuc8Ev1qtmnNmFXH+OeWct6CMrHRLEmt75ghRlADGsijqTSQiUVXdwtbdtfz/9t48SJKjPv9+qqq7qu/u6XvO3Znd2UO3OLSWHNYBCgTGNth+uUzYgLE4LGyuF3NE2DL8whaHXgibIAxEYEG8+LUtsM1hIwsIa8EgaZHEspL2PmZ25+p7+u6uM98/qrqme7pn9pqeneP7iajIrMys6qqu7qonn8zKfObINF44Od/RWRsAdo6EceO+Edy0fxg37RvGUCJI/ZEIgiA2OeVKAy+cnMfzx+fw/Ik5nDiT6mhFAMz7/8tv3omX37wDL7lhbEvMrECiqA9sFVG0nHpDwS9fnMEzR6bx3AvnMT1b6CoTGfDipn3DuGm/KZR27YjRJLYEQRAbGMYYUtmyLYCePz6LqZnuYWzCIQ9uuW4Ut91iCqFEdOs831qQKOoDW1UULadYruPF9prE2RS0ZaMBu11O3LB3CDfsHcJ1k4O4bnKQmtwIgiCuIbKi4fR0BsdOLeDoKfMe3j6VRouxobDdCnDT/mEMJ0NbviWARFEf2C6iaDmyrOL4mZRV05jDiyfnUa3LXeWGkyFcNzmI/buTuG7PICZ3xtdttFKCIIjthGEwzMwXcOxMCsdOL+DY6QWcmc52dYUQBB57JxK2CLpx3/CaTLC62SBR1Ae2qyhajmEwTM3kcOT4LI6eWsDx06mOaUhaOBw8du+IYb/lJF23O4nRofCmeVuBIAhio5BfrOH4mQUcO22KoBNnUj0rpwNBj+3e37R/GPt3J7dEn6CrhURRHyBRtDLlahMnz6Zw9PQCjp0yay3FHjOb+zwS9u1OWn9aMwyHrm7yUIIgiK1Eo6ng1LmMeT89vYDjpxe6Xo0HzJnl9+5K2A799ZODSMQCW74p7EogUdQHSBRdOq0Ofi1b9/iZFE6eTUNWtK6y8agfe8bjmByPY894ApPjcSSifvpjEwSx5anUmjg9lcHpqQxOWeH52XzH3GEAwHHAzpGIKYAmB3H95CDGRyM01+UlQqKoD5Aoujo0TcfUTB5HrZrPsdMLmJ7No9cvKOh3WyIpbocjgwPXfP4cgiCIKyW3WMWpc2lT/JwzRdBCptSzbDTsW3LUdw9i3+7khh4xeqNDoqgPkChae2p1uaOGdGoqg+nZfFdnQQBwSQ7s3hnvEEsTY1GaroQgiA2FYTDMp4tt97U0Tk9lUCjWe5ZPxgJt97UE9k7EEdukgyRuVEgU9QESReuDrGiYupDDqbabydnzWTTl7qY3QeCxcySCyfEYJsZiGB+NYGIsiniEmt8Igug/lVoTUzN5nLuQw9SFHM5MZ3F6OtMxWWoLnucwNjSASaubwN6JBCZ3xhCg4Uz6DomiPkCi6Nqh6wZmFhYt2zlt18DK1WbP8l6PiPHRqLWYQmliLIqBoIfEEkEQl029oWB6No+pmZwlgMx4r3GAAEB0CpgYi2JyPGE6QBNx7N4RozfBrhEkivoAiaKNBWMM6VwFp6cyODOdsWtrMwuLPZvfALOv0vhYBOOjUUyMmkJpfDRCNTWCIACYTvWFuYIpfFoCaCa/Yt8fwHxZZHw0Yt5TdsSwZzyOHcNh6gS9gSBR1AdIFG0OVFXHzEIB5y7kO25qc6nFnp26AXMak/HRKMaGBjCcDGEwHsRgIoiheBBej7S+J0AQRF9RVR2pbBkLmRLmMyXMp4qYWVjE9Gwec6lix4So7URCXuy0nOdxq1K1cyQCn5fuERsdEkV9gETR5kaWVZy3aoDnZnKYtpylVLa86nZBvxtDiaAplOJBDCVaSwiJqJ9qgwSxwWCMIV+sYT5dwkK6hPl0cUkApUvIFaorCh8ACPhcpuBpE0DjoxGEAttvJOitwno9v7flaz9NVQNJos2HJDmxZyKBPROJjvR6Q8HUTB7TsznMzC+aN9KMuRTLDZQq5nL8TKprnzzPIRb2YSgRsp2lRNSPWMSPeNSPeMRPfQgIYo3RdAP5xSoyuQoy+QrSuQpSmaX/7XymDKXHmGjtSKLDruwMJYIYHRzA2HAYE2MxhEPU93CrYBgMp1M5NGq1dfm8bekU3fz+z+CleydwYHIUBybHcP1IgmaM36LUGwrm22qaC1ZNsyWceg1GuZyAz2ULpHikUzCZiw8SCSeCAGAKnkKxZgseO7Ti2XwF+WJtVacHMCssiai/zeG1Ki5W5YVeutiaMMYwky/h6dMXcOj0BTxzZhaLtQbuu24M/8+f/F/kFPUDRdPxizMz+MWZGXzxsSfhlUS8bNcwDkyO4cDkGCaTEfqzbRE8bhG7d8awe2esK48xhkKxbgmlIuYzplWfyZs37nSugkZTRbnaRLnaxJnp7IqfE/S7EY/6EQv7EI/6ER3wIRzyWovHDmlMJmKzousGytUG8ot1FIo15Is1FIo1FBZrtujJ5qvIL1a7RnPuhcPBm/+XSACxiM8WPy3nh5q2tw+ZUhWHzszg0OkL+MWZGSwsdk6J4hadEPj1MS62pVN05MwUjqVK9gUoNzon5Qv73Lht96glkkYxGgldmwMmrimMMdTqCjL5MtI584afyZWtB0DL+i/3HH9pJfw+FyK2SPIiEvIiPOBFOGilDZhpQb+bRv8m+g5jDNW6jMKiKXIWS3XkFy2xYwufOgqLNSyW6xd1d1oIgil4Ym1uajwasBxWUwgNBD00ufQ2pVRv4tmzs3jaegafS3dOSO4QeNy8YxAHJsfwa5OjuGEsiUatRh2t15peHbV0w8DJ+SwOnTZV6i+n5tBY1qQyHA7gwO4x3DY5igO7RxEN0ASohAljDJWabDcLpC2XqVCsLT1cSmbNWtN6DzPQC57nEPC5EPC5EfS7EPC3h24EfC6EAu7OdJ8bTifVrLcrum6gWpdRsvvRNVGuNFCqNlCuNFGqNMx1O90MFVW/5M/gONMVtcV8yBT0tvixmpUHgh4S9YRNQ1FxeGoeh05fwKEzMzg+m4HRJj04Dtg/HLdE0Bhu2TkEz7IuCfT2WR+4lC9V1XQ8f2HBFknPn09BMzofZhOJMF46MYyXTozgpRPDSIZoOHdidRhjqFSbds07X6xhsaMJom7Hi+X6ikMPXAy3y2mKJkss+b0ueD0iPG4RXo8En0ey4qIVl+D1iPBa+W6Xk5qOrwGMMSiqjnpDRrWmoNaQUa8rqDUUVOsy6nW5LW6m1+pyh/ip1JpX/LvxeSTLqfQgEvJiIOhFZGCp6bclgkIBD/W/JC5KrangV9PzeO7cHJ47N4sXLqSh6p3iezweNvv17h7Fy3ePIuhxrbpPEkV94Eq+1Lqs4JcthXt6BifmM103nuFwAC+dGMHLJobx0l0jGI0E6cFCXDGabli1/fpSrd6q6XfV9itNlKsNlKvNS27aWA2e5+BxifBYosnrFuF2iZBEByTJAUl0wCU5V1h3wiX2LiM6HRAEHg4HD4fAwyEIEAR+QzefMMag6wY03YCmGdANM1Q1HYqioSmrkBUNTVmDrLTiS2nLy3Suq7awqVti53KcxNXwesRlDmNraV9vuYsuDAQ99KIAcVUUaw38cmoez52bxXPn5rqcIABIBH12c9htk2NIBH2X9RkkivrAWnypxVoDh6eWFPDxuUxXp8JYwNvhJO1KRDb0zZ/Y/BiG2TekXGmg2CacanUZtbrpPNTqnQ/hWl0xnYm6gnpdvqTOsWsNz3NwCLwlmAQIPAeHQ7CEkymiBJ6HYOXhKv9GzGC2yNF0A7quQ9cZNF2308x0Y8VR1fuNx73k3JkunhVaItXrtUK3hIDfZTmDLrtZlTonE/0mU6ril+fm8Kz1HDyTyneVGYkEO56DV2sWkCjqA/34UmtNBUfOL+BZSyG/cD7VZRMGPS68ZHwYL901jJdNDGPvUJwsaGJDwRiDrGhtzTNLIqrRVNFUup0OWdEgy1rnuqJ15TdlFZqmXxPRtdZwHOB0CBDb3DCX6IAoOeASrXXJAUl0QpJ6uGri0vry5kyv24xTBYrYSDDGMFco2y7Qc+fmcCFX7Cq3KxG2BdBL+tCthERRH1iPL1VWNbxwIWU7Sb+aXkBDUTvKeCQnbhobxM07B3HLziHcOJa8aHsqQWx2DKPVHKXbbozdNKUblnAyuhwbc11fk+ZBjgMcgulECY5WMx5nptlNe7zd1CdYZW3HiiozxBZH1XQcn8vgyPkFHJlewOHpeWRKnZPm8hyHvcMxvHRiGC+bGMGt40MI+/o7WjiJoj5wLab5UHUdJ+ayeO6spbKn5lBZNgQAYHbevmXHEG7eOYibdwxiPB6mGiNBEATRV7LlKo5ML9gi6OhsGorW2drhEHjcMJqwnaBbdg7B717f+eJIFPWBjTD3WWvI8iPT8zhyfgG/ml7oaUX63RJuHE3iutE4rhtJYP9wHMPhAHXgJgiCIK6IUr2JY7NpHJvN4NhsGkdn0pgrdM8dGfK4rAq6WVG/cSwJt3htO+OTKOoDG0EU9aJQreN5SyAdOb+AozOprrGSALNv0v7hOK4bieO6UVMojYSD5CgRBEEQHeQrdZycz1oiyBRCvQQQxwGTyajdSnHLziGMRUMbrgJOoqgPbFRRtBxV13FqPoejMykcm8vg2GwGpxdy0Hq8DeORnJhMRrFnKIq9QzHsGYxiz2AMXpd4DY6cIAiCWE9UXcd0ZhEn57M4NZ/FqYUcTs5nkavUe5YfiQTNivVIAteNxHHjWBI+1/o2hV0JJIr6wGYRRb1QNA2nF/I4NpvG8TahtLztt8VIJIg9g6ZQaomlYXKVCIIgNi2Fah2n5nM4uZDFqfkcTs1ncTZd6HrjGTAdoNFIqEMA7RuOb9qXekgU9YHNLIp6oekGzmcX7ZrBSauWsPxNgRYeyWk7SXuHzHByMEquEkEQxAZC1XWczy7i5HzOvq+fms8iW671LO+VRPPePhSzWw0mkxF4pK1zbydR1Ae2mihaicVqA6cWsjg5n8Mpq0ZxJpXvWZsAgMEBPyYSEexKhLE7EcFEMoKJeHjd3y4gCILYTqiajvO5RZxNF3A2lcfZdB7n0gVMZxd7dpcAgNFIcKmrhNUSMDQQ2PKtACSK+sB2EUW9aK95nJrP4uRFah6AOSz7rkQEu5KmYNqViGAiGUbAvTntV4IgiGuBommYzhZxLpXHmXQe59J5nE0XcCFb7Jpbs0WXsz8Uw2Ry+zr7JIr6wHYWRStRrDVwLl3A2bRZSzmbKuBcOo/MKmIpHvBiIhHB7mQEE4kwJhJh7IyFEfa5N9wbCwRBEOtFXVZxPruIqUzBdH/SeZxN5TGTL644ortXEs1KZzJiVjwTYexORpAI+re8+3M5kCjqAySKLp1SvYkp6099Jp3HuVQBZ9L5FfsrAYDfJWFHLISd8QHsiA1gZ9QMd8RCW6ptmyCI7Yuq65grlHE+u4jp7CLOZxdxPlvEdHZx1fujzyWaznu7+56MIBH0UWXyEiBR1AdIFF09lYaMc5ml9u+z6QKm0gUsFMtY7ZcUD3hNodQSTDEzHA4H4BRoAkuCIDYOjDFkyzVMdwgfU/zM5ksrNnkBwIDXjR2xEHYlI2YfTUsExQNeEj9XAYmiPkCiqH80VQ0zuWJb7cmMn88tolBtrLidwHMYCQexIzaAkUjQXMJmOBwOwiNd21FUCYLYmqi6jlSxgtl8CbP5EuYKZczmS7iQM12f5XNWtuNyOmwXfGcsjJ2xkLU+sGlfed/orNfz29G3PRPbCpfTgcnBKCYHo115pXrTrmlNt8SSJZgaiobzuSLO95jqBAAifo8tktoF00gkiHjAR23uBEH0hDGGckPGbL6IGUv4zBZKtghKFSsr9vMBzArbsFVh2xkb6BA+dO/ZupBTRFwzGGNIl6qWQCpibtlNq9xj4tx2nIKA4XAAwy2xFA5gMBxAMuRHMuRH1O+BwNOs5gSxFWmJnlSxglSxgoXFCuYLrXuI6fpUmqvfQ0SH0FXZGgkHsTM+gJFwEE4HNe1vFKj5rA+QKNpclOpNzLWJpJZgmiuUMV8or9quD5g1vYjfi0TQh3jQh3jAh3jQ2xXfDEPcE8R2QtE0ZMs1ZEpVpEtVZEo1ZMuteNXOa6rdc0QuJxbwdoqeNhEU9XvJ8dkkUPNZH3l2bhYHXLvhFemNqI1M0ONC0OPCdSOJrjxNN5ApVTucpZYlvlCsIFOqQjcYMtZNdDU8ktMSSaZQivi8iPg95uLz2PEBrwcOgZwngrgSGGMo1ZsoVOvIV6ylLZ4pL4mdxdrK/RCXM+B1Izngx2DIj6GBQIfwGQoHrvns7sSVoxkGThfyeD61gCDWR7xuS1H0x9//DzjcbuweCOOmZBI3xZO4OTmIvZEoRHoTalPgEHgMhQMYCgdw2+7RrnxNN5Cv1m1RlClVkSm34jU7Xm0qqMuq/ZbJxQh5XJZI8nYIpojPg3CbiAp53XQzJrY8qq6jVG/awqZQ7RQ6+WodhUod+UoNhWrjou5uO6JDQCxgOr0xq9Jixr12PBrw0v9si8AYw4VSCUfSC3g+ncbzmRSOZtJoaKYb+MqhkXU5jm0pihJeL7K6jlOFPE4V8vj2saMAAJEXsD8Ww82JJG5KJHFzIonxgTB4eo1y0+EQeCSsG+dq1GUFGat22lpaN3W7RlutY7HagMEYivUmivUmzqYLFz0GySEg6HUj5HEh5HUj6HEh5HUh5HEj5HVbcVdHGb9LIjufWHcYY2goKoq1JhZrDZTqTRRrDRTrTZSssFhrolRvxc0y1aZy2Z/ld0sdFYqwFY/5raZt638b9LjoFfYtTLZWWxJA6RSez6RQbDa7yvmcIm5MJHBjNLYux7Vt+xQ1Bd68EOm0fWFKco8LIoq4MZ7ATW1CadDnpz/rNkM3DBRrTUsw1TprwdXOpoBCtb7ivEUXg+c4BNySKZDcEvwuCT63CL9Lgt8tweeS4HOJbXkS/NZ6K486l28/GGOoyyoqTRnVpoxqQ0G5KaPaMNfLDRnVpoJqU0aloZjlGjIqTdkSQM0V50a8GBwHhDzuTse05Zp2uKlehP1uiI5tWRff1pRlGS9kUvYz9/n0Ahaq3d0aVjMmqKN1H1jtS11u3R1JL+BoNoOm1t2RL+J24/pYAtfF4rghHsf1sQTGgkESSgQA87dUk5WlmnWtadeul2rfTRTrnfG6vPK4KJeDR3LaIsojiXCLDnhEEW7RCY/k7AxFM3RLS/GlMua2bqcTDoGn3/caoekGZFVDQ1HRUFTUFRUN2QoVFXVZsfI0O76UtxTWFdUSOTJqsrLq6+WXilMQEPK6LFfTbTmZLgx43Qh5Ot3OoBUGPBIJccImX6/jWDaDF7NpM8xkcL5U7CrHAZgMR+wuLDclktgXja3YhYVEUR+43C9VMwyczucsay+NI6kFnMznoPf4ynyiiOtjcVMoxRK4Ph7HxEAYDrpZEJeIomm2gCrVGqg0FVQaZhNFxar9V6zafbVp1vzt9YYMWbuymv6lIjkEiA4HRKcAyeGA6BCWFqfDyjfLSE4BomCWFR0CnIIAgefh4DkIAg+e4+DgeQgCb6fz/FJcaOVxS3Ge4666q6XBGHTDgG4shZphQNcNGGwp3rOMtWi6AUXTIWsaVE2HrOpQNB2KpkHWrLiqQdF1yKpm5Zn5iqaviXhZCYHn2hzEJVfR55Lgd4tWuJTnc0ltTbouuEUniV/ikmCMIVWt4mg2jRczGRzLZnA0m+7pAAHASCBgO0A3xZO4Pp6A7zJediJR1AfW4kttaipO5nI4ms3gaDaDFzNpnMznoPSwniXBgf3RGK6Px3F9LI7r4wnsCUcgkX1M9AFF01BpKJZgMptJ6m3OQy+3oT290e5YyCrqytq4D0RvOA6mSyd2u3Sdbp7l9kliVxmfS0TAbjqV4BYdJGqINcdgDBdKRRzNZKxnXxpHMxkUmr3fEtwZGsANsTiuj5tGwfWxOMJuz1UdA4miPtCvL1XVdZxZLJhKOZPGi9kMjmczqKndzSEOnsdkOILrYnHsjUSxNxrFvmgMMY93zY6HINYCxhhUXUez5Xao+jL3Q4Os6lCtNFnTLefEdEkU1XRTFFWDahgwLOfFdGPa4lae1nJnLKdmeZ6xBgKN4zgIbU6Ug+ftdQfPg2+LC0Jb3MprxZe7ZZKz3TmzXDMrrd1Bay/rcpKAITYedVXFqXwOJ3NZnMjncDybxbFsBlW1u1O9wHHYHY7ghnjCbinZH43BL6392G8kivrAeg7eaDCG6eKi1bZqiqVj2QwWe/SuB4CI24N9lkDaGzHDSXKVCIIgiD7Qcn9O5HI4kcviZN4ML5SK6CUKREHAvmgM18fiuCFu9qndF4mu2zOKRFEfuNYjWjPGMF+t4Ggm3fFDnC4u9vwRChyH8dCA7Sbti8SwLxrDkJ/efiMIgiAujWKzgZO5HE7ksziRy+FkLoeT+aw9BtByYh4v9kWjdgX9ulgcuwbCcF7DcfxIFPWBay2KVqKhqjhVyJsiyRJKx3PZnmM2AGan7r2RKPZEotgTiWB3OILJcAQxj5fEEkEQxDalqig4W8jjdCGPM4U8TubzOJnLIlXr3flZEhyYjEQsARSzw6jn6vr/9AMSRX1go4qiXjDGkKnVOmzNE/kczhbyUFcYFTYgSZgMmyJpdziC3QNhTAyEMeT30yuzBEEQWwDGGPKNBqaKBZwrFHC6UMAZSwgtVCsrbjcSCNitDaYDFMWO0MCmeUOaRFEf2EyiaCUUXce5xQJO5HI4Y9UGThfyOF8qwljhUoq8gB2hEMZDA9g5MIDxkLUMDCDq9pC7RBAEscGoKQqmi4uYai2LizhnhRVFXnG7uNdrtx7sDkfsVoVAHzo/ryc0ISzRk1Znt33LhjyXNQ1TxUVbJJ2xag/nS0Uouo7TVvpyfE4RY8EgRoMh7AgGMRYMWUsQQ/7ApqlFEARBbCYYY8g16rhQKmKmVML5UhEXSiVcsMJsvbbithyAIX8AEwMDmAxHMRkOY3ckgt0DEQRdrvU7iS0IOUVbHN0wsFCtYGrRrG2cWyzYNY+5crlnB+8WDp7HsD+A0UAQY6E20RQwQ+9lDLxFEASx3VB1HXOVMi5YomfGEjznS0XMlEuo9xi2pZ2I242dlqtvOvxhjA8MYEcwCJdje02ES81nfWA7iqLVkDUNM+XWn9WsoZy3wplyqeeAlO1E3B7LZQpixB/EcCCAYX8Aw34/hgOBbfenJQhie6EZBtK1KubKZXOpmMtM2byPzlcqK3ZrAEzHZ9Dvx45gyKx8BkNmPBjEjmCIXJ82qPmM6DuSw2F3yl6OwRjS1app5ZZbgsms5cyUilhsNpFv1JFv1HE4tdBz/xG3xxZKI7ZgCmDIim/2Nm6CILY2sqZhoVrBrCV45itL4me2XEaqWuk57VM7LofDdtdbYqfVRWHYH6Cx6DYY5BQRV0RZlu2275ly0bpRVMwbR7ncc/TT5QQkyRZKw4EAkj4fkj4/Bn1+JLw+JH0+umEQBNEXdMNArl5HqlrBQrWKdM0M56172GyljGyttmoXAwBw8jyG/AEM+QMYDvitSmAQY5YAoqFS1gZqPusDJIrWB8YYyrKM2XLJspMrS9aylbbSyN7LCbvcSPp8SPj8SPp8pmDy+ex40ue/rEkFCYLY+siahkythlStglS1uiR8rHiqWkGmVruoywMAbofDrrgNtbveVhj3+sCT6Ok71HxGbFo4jkPQ5ULQ5cL18UTPMjVFwbzlLM1ZlnS61rphVbFQraCpaSg0Gyg0GziWy674eT6naAknH+JeH2IeD2Kt0ONF3OtFzOuFX5SoxkYQm5impiJbqyNbryFTqyFbryFXryFbM9cztSoWqlXkG/VL2p/AcYh7fRi0XOqEVdlqb/YfcLnpvrGNIFFEXBO8oojJSASTke7+TMCS27RQrdi1uwUrTFs3vlS1grIso6oqOLNYwJnFwqqfKQrCkkjyeBH1ehH3mIKpJaCiXi8ibjd1EieIdUIzDCw2G8jV68haQqcrtERQVbl4s3wLSXBYTfKm4OmM+zHo8yHi9tDAtpsEbYVBi9eabSmK7v/5N3Hz8Dj2BZPYHxzErkAMIn/t5nQhuml3m5aPydROXVVtdylVrSBXr3fUIFvxsixDsV6PnauUL/r5HqcTYbcbYbfHDF3uzvWOuAd+UaTaJEHAdHPyjQYKjQYWGw0UGnVrvW6tN5Bv1M38ZmPF6YxWQhIcVsXGs6xi4+1wfUIuF/0nNyGMMczWizheXMDxUgrHiymcKKVwZ3DHunz+thRFhwszeL651Bzj5HjsDsRNkRRKYl8wiX3BBPxOeh1yo+NxOjFhTWeyGrKmddQ8l4STWTvNWHm5eg2qYaCuqqirKmbLFxdQgNnZcqBNKIUkU9AFJReCLskKrXVJQsjlRkCS4CMxRWxQmpqKUlNGSW6i2GyiLDdRkmU7Xmw2UZKbKDVlU/A0TcFzsbF3esEBCLvdHc3eLaETaxM+UY+XKiBbCMXQca6SxfFiCsdLCzheTONEKYWq1j1i90mk1+WYNl1Ha1mWceDAARw5cgSHDx/GLbfccsnbtjpq/X8v/gwXjKp1IVIoq71rKqPeAewPJm2xtD+YRNxFM9RvZRhjqCgKCq2abFuttpVWsG7+rfUreQi0EDgOQcmFgMtlCSkJAcmFkMsFv2iKps5F6oj7RRGiINBvkuhA1XXUVAVVRUFFUVBVZNQUFVVFRlVppZvxsiyj2GygJMsoN5soWkJH1nvPoH4pOHkeYbfHqiiYS8SqMAy4zMpDpL0S4XJRM9YWp6rKOFEyXZ/Ws/dMJQvV6B4Pz8kLmAzEsT9oPnf3h5IYhBtD0Th1tF7OX/zFX2BoaAhHjhy54n28dvRG+0tljGG+UbItutbFWmiUMFNbxExtET+cP25vGxY92BNMYE8gjl3+GHYHYpjwxxAS3Vd9bsS1h+M4BCQJAUnCztDAJW3T1FRLJC2JpVYNuig3UbZq1GYNW7Zr2IquQ2fM7kx+pTh5Ht6eokmEx+GE2+mEy+GAy+GA27EU71h3LsXdDickhwNuqww9rNYexhhkXUND1dDQVDQ1zV7sdVVDU9fQUHvn11UVNUvgVBUZFUWxhVBTu3JB0w7PcQhKEoIutxnajqfU5oS6EHa52wQQNSdvZ2Rdw1Q1h7OVHM5VsjhVyuBUOY0LtcWe5f1OyerK0hJAg5jwR+Fc1qWlfImu/dWyqUTRY489hh/+8If4t3/7Nzz22GNrsk+O4zDsCWHYE8K9Q/vs9EW5vqRqLbF0rpJDQanj6ewUns5OdewnInmxyx/DhD+KXf4odvlj2OWPIeby0c1hi+NyODHkd2LIf3m1l6amWgJJRqnZNBd5ad1+0NkPPqWjpl9TFTAAqmGg2Gxedt+MS8XB83DyPETBAafAw8kLEIWlxckLcAq8GW+l80txJ8/DIQgQOA4Cx4HneAg8B57j4OB5c53jrLRWnF8qb8XN156v7r/EGIPODOiMwWAMmmHAYAZ0w1zX2+JmXlt5wwx1w4BqGFB03V5UXYdqLMUVK19t5Rttcd2A0qN23A9cDkeHWPaLIrzOJdHsFUUELWcyYDmVrabfgOSCTxTpdXOiJ1VVxtlKFucqOZyxwnOVLGZqiyuO7ZR0B5YEkNX6MuwJbahn5KYRRel0Gvfffz++853vwOPxXNI2sixDlpfaJi9HaQ5IHtwen8Dt8Qk7ramrtuo9Xc7gXCWHs5UsFhpl5OUa8nINv8hNd+zH75Qw4Ythlz+KCX8UE5a7NOQJQuCoBr6dcTmcSPqcSPr8V7S9wRjqau8mkZrVbFJXVdtpaGgqZE1Dw3YdWummG9Ge1950ohkGNMNAY43cB6ITJ89bzlzLqXPA5XTCJTjgdjrsvJZzJzkc8DidcDucPZtV/aIEr+iE1ynCKdALJMSVwxhDQanb4udsOWs7QOlmZcXtgk4XJiyTYHcghj2BBPYFEwhL3nU8+itjU4gixhje/va34z3veQ9e9rKXYXp6+pK2e+ihh/DJT35yzY7DJThxU3gYN4WHO9JrmoIpWy1byrlsKuaKKuPI4iyOLM52bCPyAsa8Yez0Rexl3G+GA6JnQylnYmPCc5z9IFxrDMZMwaSqXU6HYhhtrkfLITG6HRE7XYNmdLotHU5MV1qnW2PmGavOIXWpcFhypBxtzhTPc3BwPASeB9/mUDnanKqWy+XgW67YkmvmtNwxO73NRWu5ZbbTZuW5BFPkkHAhrjV1TcH5agHT1XzXslKfWwCIuXxWq4hZ4W+FUWnzjuJ9TTtaf+xjH8NnPvOZVcscP34cP/zhD/Hoo4/iJz/5CQRBwPT0NMbHxy/a0bqXUzQ6OrpuI1oruobpWgFny6ZYMhV2DlPV3Kr2ecDpwk5fBDt8Eez0mcJp3BfFDl8YHgeN3kwQBEFcHqqhY65e7BQ9FTNczfXhAAx7QmYrhyV6JqwuIgFx/d7Q3hbTfGSzWeTz+VXLTExM4I1vfCO+//3vdyhPXdchCALe+ta34hvf+MYlfd5GmeZDZwYW6iX7hznV9iNdqJdWnWsn4fLbztIOXxij3jDGvAMY8Q6QYCIIgtjGaIaB+XoRM7VFXKgVMFNbtJ8xs7VFaGzlARAHRE9by8VSK8aYLwyXcO0Hs90WouhSuXDhQkd/oPn5edx333349re/jQMHDmBkZOSS9rNRRNFqNHUVF2qLloLPYbrN0lxUVh+6Pir5MOYdwKg3jFHfgB0f8w5QkxxBEMQWoK4pHaKnFc7UFjFfL646n5tLcLRVqiMd3Tc2+hvUNPdZG2NjYx3rPp8PALBr165LFkSbBZfgxJ5AHHsC8a68otLA+TZ36UK19WcooKQ2kZOryMlV/LIw07Wt1yFitCWYvJ2CKeEOdL3+SBAEQaw/jDHk5ZotdGZqBVxoi+fk2qrbi7zQca8fbxM+CXeA3ia8CJtCFBEmIdGNUHgEN4e7hWBJaaxYe0g1yqhpCk6U0jhR6h4VlAeHhNuPIWtogmFPCEOeoB1PeoI0DQpBEMQaYDCGnFzFXK2I+XoRc/Ui5uslzLXFZWP1Nz2DTld3BddnVnJjLj8Jn6tgUzSfrRWbofmsH8i6htnaolXbaIkmMz5XL150zBQOQMIdwJA7iGFvyBZPLeE05A5CFEhfEwRB6MxArlntEDmt+FytiPlGqecozu207rmm4zOAMVsAmWFwgzd19QNqPiPWDElwYFcghl2B7olVDcuqtf/ANStslDBnxWVDQ6pRRqpR7tk0B5iDVybcAQy6A0i6A1Y8aKfF3QFymwiC2NS07pepRgkL9TLSzTJS9RJSzQpS9RIWGmVkm5VVOzQDLXc+YLvxw94ghtwhDHvN9QTdL68ZJIq2OTzHIebyIeby4ZYezXKsTTR11HjqpvU7Xy+hoav24JXHigsrflZU8iLpDiJpCaelxUyLuXzkOBEEcU3QmYGCXEemUcZCo4xUo2RXBltLplGGehHBA5hzGibdwa6uCK0l7vZTP84NCj2BiFXhOA5Rlw9Rl69nXybGGIpKw7ppmDWldNtNJW3dTBRDR06uISfX8GJxfsXPCzrdiLv9iLl8iLvaw864ROKJIIhLQGcG8nIN2UYFmWYV2WYF2WYFmWYF2WbVDvNyddU3t1pwAGIuf0fFruWKt9ZjLj8cNGfgpoSeLMRVwXEcBiQPBiQP9oeSPcswxrCo1E2hVC8h1SwjVW+vgZWQblagGjpKagMltYHT5cyqnxt0uhC1hFJU8iHq8iIi+TAgehCWPBiQvHbc55BoOAKC2EI0dRUFuY5FpY5FuYZFpY6CXEdBriHXrFoVMFMA5Zs1GKuO/rYEByAi+TDoaTnY/mXudhAxl49cni0MiSKi73Ach7DkRVjy4vrQYM8yLccpK1eRbVSs2lx1WW3OrN0pho6S2kRJbeJsJXvRz3dyPEKSxxJJXoRawkk0xVwrvbUecrqpGY8g1gmdGSgrTRQtYWMKnFrHeivNFEF1NHT1sj6DB4eIy9vDdV5yn+MuP8KSlxyeDYrO1mcS5W1553/o+GewMzqOIfegubiGEHfFIHCk/q8V7Y5TrzGaWjDGUFabtlDKy1W7Zphv1lBQOm+mdU2Bygxkm1Vkm9VLPh634ETA6UJQdCPgdCMouhEUXQha8VZeUHR3pPmdLnodlth2MMbQ0FWUlAbKahMlpYGi0kBZbaCkmO5vWWmaTrAdmvkVVb74B/TAyfG2IzwgmRWbsOhB1OVDRDKd41ZTfETy0gTcmwDGGBbVIhYaC5hvLGC+OY/5xgIWmgu43nHduhzDthRF07ULmOdSHWkCJyDhSmDINYhh9xAG3YMYcg1i0J2EyNP0GRsFjuNsMbK7x9t0y2nqKhZtm727xlmw02tYlOsoKg0YMG/wDV1ddU6gXvDg4HdK8Dtd8Dkl+Bwu+J2SFbfSHeb6UpnOuM8p0Q2cWDcYY6jrKqpqExVVRlWTV4nLqKjNrnhZaVxSB+TV8DslU+CIXlPkiB6ErNB0dL22wxuWvPA6RGoW36QYzEBWzlrCxxJAjXksNFNo6I2e26T0VM/0tWZbjlP0xNRBlMWKdSFMFaoYSs9tOHCIShFLIA1iyD2EQVcSSVcSfoeP/pRbDIMxVFXZqtk2UOyo4XanteddrqW/Gh6HCI8gwuMQ4XWIcAtOM80hwi2I8DiW1lvlPMvLWeuS4ICLN0ORF+g3u0lRDR2yrkE2NDR1FbKuoa4pqOuKGWoKGpraua4rqGkK6pqKRlvZ9nJVVb7kPjcXw8nxHe5qp6Pq6soLWXl+p4v66WxBZF1GqplGqpnqEEDpZgoq6z1AJQ8ecVfMeuYOWa05g/CqHiTDSZr7bC1ZafAngxkoKIWOi7bQWMBcYx41feUh1T2CB0lXwlqS1mKuS4K0HqdEbCAUXTP7OimNy65t1zQZFVW+6Ei2VwsHc9wqiXfCJTggtUTTsjRz3WGWFRxw8gIcnAAnv8LC8SvmOTgBAs9DAAee4yFwHASOB3+RkOM4CBwHHtyaCzmDMejMgMGYtRjQW2lYylspVA3dXJi+FG9bNMNYJU+HYuimsDE0yLqGpq5B1lUzNKywlWaY4aW8GXU1CBxnO5t+pwteh2S5nC74HOKKzqbf6ULA6UJAdMMjOEl0bzN0piMr55BqpiwBlEbaiheUxRW3c3JODLqTGHQNdnRlSbjicPLdE9DShLB94HK/VMYYKlqlTSzNWyo3jbxSAFuldjXgHFgSTO6kLZyiYgQOflu2WhKXgGLoqFlCqb1WX+uo5feu8dd6OAVNXUVTV9fIB7h28ODAcxyu9nFrCp7N/m0AEm8KWfcqTqHpInauu9vKtvK9Tgl+hwsuwUGChugJYwxFtWiLnpYASjfTyMjZVTtB+xw+JK2uKYNt4icqRcBfRjcBEkV9YC2/VMVQkGlmsNCmjlsKuaKt3KFX4ATEpCgSUhxxVxxxKY64K4a4FEdMivZUyARxNTDGoDJjyYmwml5aDkSnS9GdtpIrohnGqm5JK0/RdcthMd0YA0vOTCvcaPCwXCrL2Voe9nbLBDhWTOe7nDXbkWsPbXeuM80lOCFajp7IO6gzP7HmGMzAolJERs4gI2eRbmbMeDODdDONprFyh3iRF5F0JZDoaDlJICkl4HP61uT4aJqPDY7IixjxjGDE0z2gYVWrIm0LpiVFnWqmoRiKLaBQ6tyOA4ewOGALpSXhFEPcFYdb2H7z3RBXD8dxEDkBIi/Av0E192pNVXYz1xr4XRywotCxwz401xHERkAzNOTkHNJyBplmtkMA5eTsiv18APP5FJNiGHQlkGjrKpJ0JTEghi7L9dnIkCjqAz6HDz6fD7t8Ex3pBjNQVItYaKQsBd75o5QNGXmlgLxSwPHKia79+h0+SzBZQkmKISpFEZOiGBAHtsyPkth+8BwHnobEIIirgjGGqlZFVs4hp+SQlXPWcyaNTDN70W4fAicgKkY6KuNxKY6kK4G4FNsWXT+2/hluIHiOR1gMIyyGcT06x1xgjKGslW2hZFqXWWSssKJVUNGqqGhVnK2d69q3wAkIi2HEpAiiYhRRKWoLpqgUQci5dZQ8QRDEdoQxhppeQ07OIytnkZPzyMk55JSldXmVZi7AbOWIS3EkOoRPDAlXHGExvO3H6yNRtEHgOA5BZxBBZxCT/t1d+Q29YQukTDODtJyx/hg55JW89QZAFlm59wjPrRpA1BJJMSmGqBhBRIogIkYQEoPb/s9AEARxLTFf7qmioBSQV/Jd4icr59A0mhfdT8gZsirFEbN1oc31CToD1Dy8CiSKNgluwY0d3h3Y4d3RlddqluuuPZh/orxcgM50pGVTTPWCA4cBMYSwGEbEcrPCYhgRKWyn+R1++jMRBEFcIQ29gYKyiIJsip6Csoi8UkBBySMvL6KgFKCyi493FnQG2yq5Sy0CMTGKsBSBSC/sXDEkirYA7c1ye/yTXfk601FUimY7s5xDVsnZwqn1x9SZbv5ZlUWcwdmen+PgHAg5Q5Z4GsCAOIABZwgD4gCCziBCziCCYhAu3kXiiSCIbYNqqCipJZTUMopqEUWliEWliEV1EYtKEQVlEYvK4iW5PIApeszuEJ3Ofsvpp1kW+geJom2AwAlmM5kUAbC3K99gBspq2aqxmB29zZqMuV5QCiipZWhMQ04xHajVEHkRIWcIQWfAFErOIEJiyG4ebKUFnH7q50QQxIbEnP6kgZJaNMWOUkRRLaGkljpDpbTqIL/L8Qgey30fQFiK2M58KxwQQzQ0yzWERBEBnuMREkMIiSHswkTPMpqhoagu1X5aNZ/Wekkpo6QW0TRkcwwn2RzjYjU4cAi0CaeA04+AIwC/04+Aww+/M9CRRpYwQRBXg850VLUqKmoFZa2CslpGWa2grJVRUasoa2WUFNPxKamlS2rKaiFwwlIl0Bk0nfQ2R70leFyCq49nSFwtJIqIS8LBO+z269Vo6s0OG7mkWGFb7aqkllBWK2Bg9vql4OJdCFhCye/w24JpaT0An8NrDong8EHkacJIgtjKaIaGqlZDVauaYkeroKxW7NAUO6YAqqhlVLXaqq+k98IjeDoc7pAY7HK9Q84gvA4v3W+2ACSKiDXFJbjgElxIuBKrltOZjopa6RBKq9XedKajaTTRlJsXdaBaODkHvJZAahdL/mXr7XGPw0NNegSxzjDG0DSaHQKnqlY713vEL7WPTjscOPgcXtOJdvgtZ9pypa00s3+k2QWA+u9sL7alKHo69X8joUzC59wBv3MMPucOuB0JcPQwXDcETrCb7C5Gq22/opYt0VRBRbOEk5VWsURU62apMx0qM5v8imrxko+LAwe34IZH8MDr8MAjeOBxeOC1Qk9baOe3xcmdIrYrmqGhrjdQ12qo6XXU9Trq2lJYWxbW9TpqrXy9vur8WavBgYNH8JgVHqfPEjYBM75M7PidfvgcPhp+ZAOj6CVU1GlUlfOoqhdQVc+jqp6HV3/punz+thRFmfrTqArPdKQJnAs+5yh8zh3WMgafaMYlIXRtDpQAYI7h5HWYwiOJ5EXL96x1tsVrdryGilrpqHUyMPsmnVMu/1gdnAMewQO34IJLcFuhC27BbYUuuHhzvT1veb5LcJFjRfQdxhgUQ0FDb6KpN9AwmmjqTTT0hp1mrptpTaMt3pbe0BsXHTTwUnByzmXubW9Hl9zdzY1uNFFVZ1BVp1FpCR9LBClGsfc2WnBdjm1bTgh7ZOb/BefKWgr0AqrqDBhWnvNF5EMdIsnnHIXXOQqfYwROwb+OZ0D0k1b/hLreXbvtWO9V09XqMGCs6fGIvAiJFyHxEkRBgsRL9rokSFa+BEmwQivd3oYXIfIinLwTTt4JkXPCaa874OScEDiBnK0NisEMqIYK1VChMNWOq21x2ZAh67IZGgpkQ4aiK9a6DLkj3lbGUOztLrePzcVwC+6ezuqq7qvggc/hhSRIa3osxLVDZwrq6hyq6ixq6ozt+FTU82hoqVW3dQsJ+3nrt0wK1oxjKLqv7xPCbktRtPxLNZiGurZgKVXzorUE08UunsiHTIHkHIHXOQqvc8QUTY5RSEKYHjjbhJY7VdcaqOk1uxbd7KhhN9rSGz3yzfiVNiNcCRy4JeHEOW3BJPKive7gBAi8AwInwMF1hoI1M3yvPAe/VEYAD54zFw68OdcZeHAcDx5cW54VB2flmWU5K+9q/00GGBhjMGDAYAYYGAy2LA5zAlpmhWZea1Jas6zOdOhMg8Z06IYGnelm3A6tNDtvWRlD6xA3KlOhGJ3r6/07aLmbLsEFN9/uYi53O90d+S7BZQkds9mZXJvtg2rUULNFz4wZ12atZ2caWEVwO/mAJXh2tBkOY/A5x+Dguyc/X+n5vdaQKLoImtGwVW5FvYCqMm1d9BnIen7VbR2cB17niLWMWmLJFE1mHyZq1ya6UQ0VDb3Z4QK01+wv1QGQDbmnu7DaTNjExkTgBDg5hyValwSrxIuQBBFiD6dQWtVdXEp3C27qC0f0xGxeXURNnbUdH1sAabOQ9cKq25vPwJZZYLk+otmPV+RDl/WbWy9RtC37FF0ODt6NoLQHQWlPV96SSraUsrb0o6lrKWisjpJyCiXlVNe2HBzwOJLwOIfgdQzD4xyG1zFkr0tChG5S25RWcxfQn6ZZgxnQmLaqS2E32xiq5XJcjivSlmaltxwW24VhBgx0uzCMtcq1ynS6NleL6URxS26V5UZxlnPV7Vgtd7PMbR2cA8JKDhknQOCXuWk93DOxzZ1bcuYcbc2dpoPX2oYg+oGqV1DT5lHX5lFT5zrCujoPjdVX3d7sXjLa2VLiHIHXMQZJGNh0zzESRVeBk/ciJO1FSOoeJdpsT523LMUZ1LQZS2mbC4OGmmZajb2mcOU5yRZJHocplLzOIXicw/A4hiDywU33YyM2BjzHQ+REetWYILYBmtGwBU5Nm0ddnbPCedS0OahG+aL7cAuJthaPEXidY6YA2oL9akkU9QmBE+EXd8Iv7uzKY0xHQ8+aP051DnVtATVtzv6xNrQMDCajok6hok713L+D81qCKQm3IwmPI4mAuBuD3jv7fGYEQRDERqMkn0a28Qzq2gIaWgp1LYW6tnDRbh6A6fa0Wim8zmF4HINW68UwPI4kBH77jMK9rURRq/tUuXxxZdx/PBAxCRGTGHDAvBLW785gKupaGg01ZYmkBfMHrs6jrqWsH3kZZZQBnLD3GHO/DN7BW9b/VAiCIIhrylTpp3gx/3c98xy81xQ6VpcNt5CE1zkEt2MQHmcSTt7bvZEGMA2oQQFwBeOTrDGt53a/u0FvK1GUz5uKeXR09BofSb94AcAj1/ogCIIgCKIv5PN5BIP9G7NoW4micDgMALhw4UJfv9SNRrlcxujoKGZmZvraa3+jQedN570doPOm894OlEoljI2N2c/xfrGtRBHPm+NnBIPBbfVjahEIBOi8txF03tsLOu/txXY979ZzvG/77+veCYIgCIIgNgkkigiCIAiCILDNRJEkSXjwwQchSdtrfh06bzrv7QCdN533doDOu7/nva2m+SAIgiAIgliJbeUUEQRBEARBrASJIoIgCIIgCJAoIgiCIAiCAECiiCAIgiAIAsAWE0V/8zd/gzvuuAMejwehUKhnmQsXLuC1r30tPB4P4vE4PvKRj0DTtFX3WygU8Na3vhWBQAChUAjvfOc7Ua1W+3AGV8/BgwfBcVzP5Zlnnllxu7vvvrur/Hve8551PPKrZ+fOnV3n8OlPf3rVbZrNJh544AFEIhH4fD78/u//PtLp9Dod8dUzPT2Nd77znRgfH4fb7cauXbvw4IMPQlFWn6tos17vL33pS9i5cydcLhcOHDiAX/ziF6uW/9a3voV9+/bB5XLhxhtvxA9+8IN1OtK14aGHHsLLX/5y+P1+xONxvP71r8fJkydX3ebrX/9617V1uTbXhJ5//dd/3XUO+/btW3WbzX6tgd73MI7j8MADD/Qsv1mv9U9/+lP89m//NoaGhsBxHL7zne905DPG8Fd/9VcYHByE2+3Gvffei9OnT190v5d7f+jFlhJFiqLgDW94A9773vf2zNd1Ha997WuhKAqefPJJfOMb38DXv/51/NVf/dWq+33rW9+Ko0eP4kc/+hH+8z//Ez/96U/xrne9qx+ncNXccccdWFhY6Fj+5E/+BOPj43jZy1626rb3339/x3af/exn1+mo145PfepTHefwZ3/2Z6uW/+AHP4jvf//7+Na3voWf/OQnmJ+fx+/93u+t09FePSdOnIBhGPjKV76Co0eP4gtf+AK+/OUv4xOf+MRFt91s1/tf//Vf8aEPfQgPPvggfvnLX+Lmm2/Gfffdh0wm07P8k08+ibe85S145zvficOHD+P1r389Xv/61+PFF19c5yO/cn7yk5/ggQcewNNPP40f/ehHUFUVr3rVq1Cr1VbdLhAIdFzb8+fPr9MRrx3XX399xzn87Gc/W7HsVrjWAPDMM890nPOPfvQjAMAb3vCGFbfZjNe6Vqvh5ptvxpe+9KWe+Z/97Gfx93//9/jyl7+MQ4cOwev14r777kOz2Vxxn5d7f1gRtgV55JFHWDAY7Er/wQ9+wHieZ6lUyk77h3/4BxYIBJgsyz33dezYMQaAPfPMM3baY489xjiOY3Nzc2t+7GuNoigsFouxT33qU6uWu+uuu9j73//+9TmoPrFjxw72hS984ZLLF4tF5nQ62be+9S077fjx4wwAe+qpp/pwhOvDZz/7WTY+Pr5qmc14vW+77Tb2wAMP2Ou6rrOhoSH20EMP9Sz/xje+kb32ta/tSDtw4AB797vf3dfj7CeZTIYBYD/5yU9WLLPS/W8z8eCDD7Kbb775kstvxWvNGGPvf//72a5du5hhGD3zt8K1BsD+4z/+w143DIMlk0n2uc99zk4rFotMkiT2z//8zyvu53LvDyuxpZyii/HUU0/hxhtvRCKRsNPuu+8+lMtlHD16dMVtQqFQh8ty7733gud5HDp0qO/HfLV873vfQz6fxzve8Y6Llv2nf/onRKNR3HDDDfj4xz+Oer2+Dke4tnz6059GJBLBrbfeis997nOrNo0+99xzUFUV9957r522b98+jI2N4amnnlqPw+0LpVLpkiZN3EzXW1EUPPfccx3Xiud53HvvvSteq6eeeqqjPGD+3zf7tQVw0etbrVaxY8cOjI6O4nWve92K97eNzOnTpzE0NISJiQm89a1vxYULF1YsuxWvtaIo+OY3v4k//uM/BsdxK5bbCte6nampKaRSqY7rGQwGceDAgRWv55XcH1ZiW00Im0qlOgQRAHs9lUqtuE08Hu9IczgcCIfDK26zkfja176G++67DyMjI6uW+4M/+APs2LEDQ0NDeP755/HRj34UJ0+exL//+7+v05FePX/+53+Ol7zkJQiHw3jyySfx8Y9/HAsLC/j85z/fs3wqlYIoil39zxKJxKa4tr04c+YMvvjFL+Lhhx9etdxmu965XA66rvf8/544caLnNiv93zfrtTUMAx/4wAfw67/+67jhhhtWLLd371784z/+I2666SaUSiU8/PDDuOOOO3D06NGL3gc2CgcOHMDXv/517N27FwsLC/jkJz+J3/iN38CLL74Iv9/fVX6rXWsA+M53voNisYi3v/3tK5bZCtd6Oa1rdjnX80ruDyux4UXRxz72MXzmM59Ztczx48cv2glvs3Ml38Ps7Cwef/xxPProoxfdf3sfqRtvvBGDg4N45StfibNnz2LXrl1XfuBXyeWc94c+9CE77aabboIoinj3u9+Nhx56aNMNiX8l13tubg6vfvWr8YY3vAH333//qttu1OtNrMwDDzyAF198cdW+NQBw++234/bbb7fX77jjDuzfvx9f+cpX8H/+z//p92GuCa95zWvs+E033YQDBw5gx44dePTRR/HOd77zGh7Z+vG1r30Nr3nNazA0NLRima1wrTcaG14UffjDH15VKQPAxMTEJe0rmUx29UZvvWmUTCZX3GZ5Ry1N01AoFFbcph9cyffwyCOPIBKJ4Hd+53cu+/MOHDgAwHQeruVD8mqu/4EDB6BpGqanp7F3796u/GQyCUVRUCwWO9yidDq9rte2F5d73vPz87jnnntwxx134Ktf/eplf95Gud4rEY1GIQhC15uBq12rZDJ5WeU3Mu973/vslzwu1wFwOp249dZbcebMmT4dXf8JhULYs2fPiuewla41AJw/fx4//vGPL9u53QrXunXN0uk0BgcH7fR0Oo1bbrml5zZXcn9YkcvqgbRJuFhH63Q6bad95StfYYFAgDWbzZ77anW0fvbZZ+20xx9/fMN3tDYMg42Pj7MPf/jDV7T9z372MwaAHTlyZI2PbP345je/yXieZ4VCoWd+q6P1t7/9bTvtxIkTm66j9ezsLJucnGRvfvObmaZpV7SPzXC9b7vtNva+973PXtd1nQ0PD6/a0fq3fuu3OtJuv/32TdX51jAM9sADD7ChoSF26tSpK9qHpmls79697IMf/OAaH936UalU2MDAAPu7v/u7nvlb4Vq38+CDD7JkMslUVb2s7TbjtcYKHa0ffvhhO61UKl1SR+vLuT+seDyXVXqDc/78eXb48GH2yU9+kvl8Pnb48GF2+PBhVqlUGGPmD+aGG25gr3rVq9ivfvUr9t///d8sFouxj3/84/Y+Dh06xPbu3ctmZ2fttFe/+tXs1ltvZYcOHWI/+9nP2OTkJHvLW96y7ud3Ofz4xz9mANjx48e78mZnZ9nevXvZoUOHGGOMnTlzhn3qU59izz77LJuammLf/e532cTEBLvzzjvX+7CvmCeffJJ94QtfYL/61a/Y2bNn2Te/+U0Wi8XYH/3RH9lllp83Y4y95z3vYWNjY+x//ud/2LPPPstuv/12dvvtt1+LU7giZmdn2e7du9krX/lKNjs7yxYWFuylvcxWuN7/8i//wiRJYl//+tfZsWPH2Lve9S4WCoXst0n/8A//kH3sYx+zy//85z9nDoeDPfzww+z48ePswQcfZE6nk73wwgvX6hQum/e+970sGAyygwcPdlzber1ul1l+3p/85CfZ448/zs6ePcuee+459uY3v5m5XC529OjRa3EKV8SHP/xhdvDgQTY1NcV+/vOfs3vvvZdFo1GWyWQYY1vzWrfQdZ2NjY2xj370o115W+VaVyoV+/kMgH3+859nhw8fZufPn2eMMfbpT3+ahUIh9t3vfpc9//zz7HWvex0bHx9njUbD3scrXvEK9sUvftFev9j94VLZUqLobW97GwPQtTzxxBN2menpafaa17yGud1uFo1G2Yc//OEONf7EE08wAGxqaspOy+fz7C1veQvz+XwsEAiwd7zjHbbQ2qi85S1vYXfccUfPvKmpqY7v5cKFC+zOO+9k4XCYSZLEdu/ezT7ykY+wUqm0jkd8dTz33HPswIEDLBgMMpfLxfbv38/+9m//tsMBXH7ejDHWaDTYn/7pn7KBgQHm8XjY7/7u73YIio3OI4880vM3324Cb6Xr/cUvfpGNjY0xURTZbbfdxp5++mk776677mJve9vbOso/+uijbM+ePUwURXb99dez//qv/1rnI746Vrq2jzzyiF1m+Xl/4AMfsL+jRCLBfvM3f5P98pe/XP+Dvwre9KY3scHBQSaKIhseHmZvetOb2JkzZ+z8rXitWzz++OMMADt58mRX3la51q3n7PKldW6GYbC//Mu/ZIlEgkmSxF75yld2fR87duxgDz74YEfaaveHS4VjjLHLa3AjCIIgCILYemyrcYoIgiAIgiBWgkQRQRAEQRAESBQRBEEQBEEAIFFEEARBEAQBgEQRQRAEQRAEABJFBEEQBEEQAEgUEQRBEARBACBRRBAEQRAEAYBEEUEQBEEQBAASRQRBbHC+/OUvw+/3Q9M0O61arcLpdOLuu+/uKHvw4EFwHIezZ8/iq1/9Ku6++24EAgFwHIdisbi+B04QxKaDRBFBEBuae+65B9VqFc8++6yd9r//+79IJpM4dOgQms2mnf7EE09gbGwMu3btQr1ex6tf/Wp84hOfuBaHTRDEJoREEUEQG5q9e/dicHAQBw8etNMOHjyI173udRgfH8fTTz/dkX7PPfcAAD7wgQ/gYx/7GH7t135tvQ+ZIIhNCokigiA2PPfccw+eeOIJe/2JJ57A3XffjbvuustObzQaOHTokC2KCIIgLhcSRQRBbHjuuece/PznP4emaahUKjh8+DDuuusu3HnnnbaD9NRTT0GWZRJFBEFcMY5rfQAEQRAX4+6770atVsMzzzyDxcVF7NmzB7FYDHfddRfe8Y53oNls4uDBg5iYmMDY2Ni1PlyCIDYpJIoIgtjw7N69GyMjI3jiiSewuLiIu+66CwAwNDSE0dFRPPnkk3jiiSfwile84hofKUEQmxlqPiMIYlNwzz334ODBgzh48GDHq/h33nknHnvsMfziF7+gpjOCIK4KcooIgtgU3HPPPXjggQegqqrtFAHAXXfdhfe9731QFKVDFKVSKaRSKZw5cwYA8MILL8Dv92NsbAzhcHjdj58giI0POUUEQWwK7rnnHjQaDezevRuJRMJOv+uuu1CpVOxX91t8+ctfxq233or7778fgOko3Xrrrfje97637sdOEMTmgGOMsWt9EARBEARBENcacooIgiAIgiBAooggCIIgCAIAiSKCIAiCIAgAJIoIgiAIgiAAkCgiCIIgCIIAQKKIIAiCIAgCAIkigiAIgiAIACSKCIIgCIIgAJAoIgiCIAiCAECiiCAIgiAIAgCJIoIgCIIgCADA/w+ub7gqGs0KPgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from common.gradient import numerical_gradient_2d\n",
    "\n",
    "def func(W):\n",
    "    return 1 / 20 * W[0] ** 2 + W[1] ** 2\n",
    "\n",
    "iter_num=30\n",
    "\n",
    "optimizer=Momentum(0.9,0.5)\n",
    "W=np.array([7.5, 2.5])\n",
    "grads={}\n",
    "params['W']=W\n",
    "history_w1=[]\n",
    "history_w2=[]\n",
    "history_w1.append(W[0])\n",
    "history_w2.append(W[1])\n",
    "\n",
    "for i in range(iter_num):\n",
    "    #计算梯度\n",
    "    grads['W']=numerical_gradient_2d(func,W)\n",
    "    #更新参数\n",
    "    optimizer.update(params,grads)\n",
    "    #保存参数\n",
    "    history_w1.append(W[0])\n",
    "    history_w2.append(W[1])\n",
    "\n",
    "w1 = np.linspace(-10, 10, 30)\n",
    "w2 = np.linspace(-5, 5, 30)\n",
    "W1, W2 = np.meshgrid(w1, w2)\n",
    "Loss = 1 / 20 * W1 ** 2 + W2 ** 2\n",
    "plt.contour(W1, W2, Loss)\n",
    "plt.xlabel('W1')\n",
    "plt.ylabel('W2')\n",
    "plt.plot(history_w1,history_w2,'o')\n",
    "plt.plot(history_w1,history_w2,linewidth=1,color='red')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "把SGD和Momentum放到一起做个对比："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.825534Z",
     "start_time": "2023-04-08T19:22:40.665300Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w1 = np.linspace(-10, 10, 30)\n",
    "w2 = np.linspace(-5, 5, 30)\n",
    "W1, W2 = np.meshgrid(w1, w2)\n",
    "Loss = 1 / 20 * W1 ** 2 + W2 ** 2\n",
    "plt.contour(W1, W2, Loss)\n",
    "plt.xlabel('W1')\n",
    "plt.ylabel('W2')\n",
    "plt.plot(history_w1, history_w2, 'o', color='grey')\n",
    "plt.plot(history_w1, history_w2, linewidth=1, color='red', label='Momentum')\n",
    "plt.plot(history_w1_, history_w2_, 'o')\n",
    "plt.plot(history_w1_, history_w2_, linewidth=1, color='black', linestyle='--', label='SGD')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "上述图像将SGD和Momentum做对比，同样的学习率（learning_rate）和迭代次数（iter_num），使用Momentum收敛到最低点（中心(0,0)）的速度更快（因为20轮结束SGD明显还没到中心点），同时Momentum的曲线锯齿数减少，明显更加平滑"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## 1.4AdaGrad\n",
    "\n",
    "在神经网络的学习中，学习率（数学式中记为$\\eta$）的值很重要。学习率过小，会导致学习花费过多时间；反过来，学习率过大，则会导致学习发散而不能正确进行。\n",
    "\n",
    "在关于学习率的有效技巧中，有一种被称为 **学习率衰减（learning rate decay）** 的方法，即：**随着学习的进行，使学习率逐渐减小**（一开始多学，后来少学）。\n",
    "\n",
    "逐渐减小学习率的想法，相当于将“全体”参数的学习率值一起降低。而AdaGrad进一步发展了这个想法，**针对“一个一个”的参数，赋予其“定制”的值**。\n",
    "\n",
    "AdaGrad会为参数的每个元素适当地调整学习率，即：Adaptive Grad。下面为AdaGrad的算法：\n",
    "\n",
    "![image-20230405200949969](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230405200949969.png)\n",
    "\n",
    "其中，$\\odot$ 表示对应矩阵元素的乘法。\n",
    "\n",
    "观察上述算法的公式，可以得到以下结论：\n",
    "\n",
    "**（1）何为“定制”？** 在式二中，某个参数的学习率是$\\eta \\frac{1}{\\sqrt{h}}$，其中$\\eta$是全局学习率即一个常数，$h$是由该参数的$\\frac{\\partial L}{\\partial W}$得到的，所以参数的学习率是和该参数的梯度相关的。\n",
    "\n",
    "**（2）何为“一开始多学，后来少学”？** 因为在学习的开始，距离参数的最优解还是很远的，学习率设置的大一点，有利于加快模型的收敛；但随着学习的进行，与最优解的距离越来越近，此时应该逐步减小学习率，防止某一时刻错过最优解导致模型发散。在上述公式中，可以看到$h$随着学习进行，是越来越大的（单调递增），这就导致参数学习率$\\eta \\frac{1}{\\sqrt{h}}$越来越小。\n",
    "\n",
    "下面用代码实现AdaGrad算法："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.842059Z",
     "start_time": "2023-04-08T19:22:40.829818Z"
    },
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "class AdaGrad:\n",
    "    def __init__(self, lr):\n",
    "        self.h = {}\n",
    "        self.lr = lr\n",
    "\n",
    "    def update(self, params, grads):\n",
    "        #h的初始值设为0\n",
    "        if len(self.h) == 0:\n",
    "            for key in params.keys():\n",
    "                self.h[key] = np.zeros_like(params[key])\n",
    "        for key in params.keys():\n",
    "            self.h[key] += grads[key] * grads[key]\n",
    "            params[key] -= self.lr * grads[key] / (np.sqrt(self.h[key]) + 1e-7)  #+1e-7防止发生除0错误"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "下面用AdaGrad来看一下效果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.980015Z",
     "start_time": "2023-04-08T19:22:40.846568Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from common.gradient import numerical_gradient_2d\n",
    "\n",
    "def func(W):\n",
    "    return 1 / 20 * W[0] ** 2 + W[1] ** 2\n",
    "\n",
    "learning_rate=0.95\n",
    "iter_num=50\n",
    "\n",
    "W=np.array([7.5, 2.5])\n",
    "params={}\n",
    "params['W']=W\n",
    "grads={}\n",
    "history_w1=[]\n",
    "history_w2=[]\n",
    "history_w1.append(W[0])\n",
    "history_w2.append(W[1])\n",
    "\n",
    "optimizer = AdaGrad(learning_rate)\n",
    "\n",
    "for i in range(iter_num):\n",
    "    #计算梯度\n",
    "    grads['W']=numerical_gradient_2d(func,W)\n",
    "    #更新参数\n",
    "    optimizer.update(params,grads)\n",
    "    #保存参数\n",
    "    history_w1.append(W[0])\n",
    "    history_w2.append(W[1])\n",
    "\n",
    "w1 = np.linspace(-10, 10, 30)\n",
    "w2 = np.linspace(-5, 5, 30)\n",
    "W1, W2 = np.meshgrid(w1, w2)\n",
    "Loss = 1 / 20 * W1 ** 2 + W2 ** 2\n",
    "plt.contour(W1, W2, Loss)\n",
    "plt.xlabel('W1')\n",
    "plt.ylabel('W2')\n",
    "plt.plot(history_w1,history_w2,'o')\n",
    "plt.plot(history_w1,history_w2,linewidth=1,color='red')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从上图中看出，一开始学习率是很大的，越往后越小。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.5Adam\n",
    "\n",
    "Momentum用于平滑梯度，加快收敛过程；AdaGrad用于调整学习率，防止模型发散。如果将这两者的优势结合起来，就得到了一种新的算法：Adam。\n",
    "\n",
    "![image-20230406165804158](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230406165804158.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "用代码实现如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:40.996253Z",
     "start_time": "2023-04-08T19:22:40.987373Z"
    }
   },
   "outputs": [],
   "source": [
    "class Adam:\n",
    "    def __init__(self, beta1, beta2, lr) -> None:\n",
    "        self.beta1 = beta1\n",
    "        self.beta2 = beta2\n",
    "        self.lr = lr\n",
    "        self.m = None\n",
    "        self.v = None\n",
    "        self.t = 0\n",
    "\n",
    "    def update(self, params, grads):\n",
    "        if self.m == None:\n",
    "            self.m = {}\n",
    "            self.v = {}\n",
    "            for key in params.keys():\n",
    "                self.m[key] = np.zeros_like(params[key])\n",
    "                self.v[key] = np.zeros_like(params[key])\n",
    "\n",
    "        self.t += 1\n",
    "\n",
    "        for key in params.keys():\n",
    "            self.m[key] = self.beta1*self.m[key]+(1-self.beta1)*grads[key]\n",
    "            self.v[key] = self.beta2*self.v[key]+(1-self.beta2)*(grads[key]**2)\n",
    "            m_ = self.m[key]/(1-self.beta1**self.t)\n",
    "            v_ = self.v[key]/(1-self.beta2**self.t)\n",
    "            params[key] -= self.lr/(np.sqrt(v_)+1e-7)*m_\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "测试一下效果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:41.144667Z",
     "start_time": "2023-04-08T19:22:41.001878Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from common.gradient import numerical_gradient_2d\n",
    "\n",
    "def func(W):\n",
    "    return 1 / 20 * W[0] ** 2 + W[1] ** 2\n",
    "\n",
    "iter_num=30\n",
    "\n",
    "W=np.array([7.5, 2.5])\n",
    "params={}\n",
    "params['W']=W\n",
    "grads={}\n",
    "history_w1=[]\n",
    "history_w2=[]\n",
    "history_w1.append(W[0])\n",
    "history_w2.append(W[1])\n",
    "\n",
    "optimizer = Adam(0.9,0.999,0.3)\n",
    "\n",
    "for i in range(iter_num):\n",
    "    #计算梯度\n",
    "    grads['W']=numerical_gradient_2d(func,W)\n",
    "    #更新参数\n",
    "    optimizer.update(params,grads)\n",
    "    #保存参数\n",
    "    history_w1.append(W[0])\n",
    "    history_w2.append(W[1])\n",
    "\n",
    "w1 = np.linspace(-10, 10, 30)\n",
    "w2 = np.linspace(-5, 5, 30)\n",
    "W1, W2 = np.meshgrid(w1, w2)\n",
    "Loss = 1 / 20 * W1 ** 2 + W2 ** 2\n",
    "plt.contour(W1, W2, Loss)\n",
    "plt.xlabel('W1')\n",
    "plt.ylabel('W2')\n",
    "plt.plot(history_w1,history_w2,'o')\n",
    "plt.plot(history_w1,history_w2,linewidth=1,color='red')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "【注】：Adam会设置 3个超参数。一个是学习率（论文中以α出现），另外两个是一次momentum系数β1和二次momentum系数β2。根据论文，标准的设定值是β1为 0.9，β2 为 0.999。设置了这些值后，大多数情况下都能顺利运行。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.6如何选择合适的方法\n",
    "\n",
    "每种方法对于不同问题都会表现出不同的性能，同时，超参数设置的不同，最后的结果也会有差异。\n",
    "\n",
    "将上述的四种方法，汇总到一起看一下结果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:22:41.604080Z",
     "start_time": "2023-04-08T19:22:41.137425Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from common.gradient import numerical_gradient_2d\n",
    "\n",
    "def func(W):\n",
    "    return 1 / 20 * W[0] ** 2 + W[1] ** 2\n",
    "\n",
    "iter_num=30\n",
    "idx=0\n",
    "\n",
    "optimizers={}\n",
    "optimizers['SGD']=SGD(0.9) #lr=0.9\n",
    "optimizers['Momentum']=Momentum(0.9,0.5) #lr=0.9,momentum=0.5\n",
    "optimizers['AdaGrad']=AdaGrad(0.95)\n",
    "optimizers['Adam']=Adam(0.9,0.99,0.3)\n",
    "\n",
    "for key in optimizers.keys():\n",
    "\n",
    "    optimizer=optimizers[key]\n",
    "    W=np.array([7.5, 2.5])\n",
    "    grads={}\n",
    "    params['W']=W\n",
    "    history_w1=[]\n",
    "    history_w2=[]\n",
    "    history_w1.append(W[0])\n",
    "    history_w2.append(W[1])\n",
    "\n",
    "    for i in range(iter_num):\n",
    "        #计算梯度\n",
    "        grads['W']=numerical_gradient_2d(func,W)\n",
    "        #更新参数\n",
    "        optimizer.update(params,grads)\n",
    "        #保存参数\n",
    "        history_w1.append(W[0])\n",
    "        history_w2.append(W[1])\n",
    "    \n",
    "    idx+=1\n",
    "    plt.subplot(2,2,idx)\n",
    "    w1 = np.linspace(-10, 10, 30)\n",
    "    w2 = np.linspace(-5, 5, 30)\n",
    "    W1, W2 = np.meshgrid(w1, w2)\n",
    "    Loss = 1 / 20 * W1 ** 2 + W2 ** 2\n",
    "    plt.contour(W1, W2, Loss)\n",
    "    plt.title(key)\n",
    "    plt.xlabel('W1')\n",
    "    plt.ylabel('W2')\n",
    "    plt.plot(history_w1,history_w2,'o')\n",
    "    plt.plot(history_w1,history_w2,linewidth=1,color='red')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.7基于Mnist数据集的方法比较\n",
    "\n",
    "将上述的四种方法用在Minst数据集上进行比较，比较各方法的损失函数收敛的情况。\n",
    "\n",
    "网络为每层100个神经元的5层网络。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:23:23.156272Z",
     "start_time": "2023-04-08T19:22:41.613026Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===========iteration:0===========\n",
      "SGD:2.3016008829525814\n",
      "Momentum:2.390435665974005\n",
      "AdaGrad:2.110477536340323\n",
      "Adam:2.193828754836243\n",
      "===========iteration:100===========\n",
      "SGD:1.5701638825571802\n",
      "Momentum:0.4280793883782116\n",
      "AdaGrad:0.15134128301037011\n",
      "Adam:0.3154445804598315\n",
      "===========iteration:200===========\n",
      "SGD:0.6830179902294958\n",
      "Momentum:0.22126739292601383\n",
      "AdaGrad:0.09918845550682964\n",
      "Adam:0.17572220357074914\n",
      "===========iteration:300===========\n",
      "SGD:0.5894456545410329\n",
      "Momentum:0.19480948818683422\n",
      "AdaGrad:0.0713874640655639\n",
      "Adam:0.1547824449415362\n",
      "===========iteration:400===========\n",
      "SGD:0.4856092493597043\n",
      "Momentum:0.1866800656709636\n",
      "AdaGrad:0.08291629540294662\n",
      "Adam:0.11157964655601153\n",
      "===========iteration:500===========\n",
      "SGD:0.32713515116254627\n",
      "Momentum:0.11343386091781137\n",
      "AdaGrad:0.040122851859313635\n",
      "Adam:0.060638149466991635\n",
      "===========iteration:600===========\n",
      "SGD:0.34338550405923113\n",
      "Momentum:0.13753057819916453\n",
      "AdaGrad:0.06251581278456272\n",
      "Adam:0.10502592551872385\n",
      "===========iteration:700===========\n",
      "SGD:0.28643262823836546\n",
      "Momentum:0.10488758219808117\n",
      "AdaGrad:0.04096345924229364\n",
      "Adam:0.046708128103540386\n",
      "===========iteration:800===========\n",
      "SGD:0.3335380976159862\n",
      "Momentum:0.16072503338733807\n",
      "AdaGrad:0.09558478735851864\n",
      "Adam:0.12126654574090724\n",
      "===========iteration:900===========\n",
      "SGD:0.26707438696116903\n",
      "Momentum:0.17231277501925102\n",
      "AdaGrad:0.07135698520256908\n",
      "Adam:0.13808486095545208\n",
      "===========iteration:1000===========\n",
      "SGD:0.24877453662244253\n",
      "Momentum:0.07287938794100567\n",
      "AdaGrad:0.02596162987768684\n",
      "Adam:0.04883119138429315\n",
      "===========iteration:1100===========\n",
      "SGD:0.3245141372897274\n",
      "Momentum:0.14086905997303345\n",
      "AdaGrad:0.04637768531182992\n",
      "Adam:0.07181726551025394\n",
      "===========iteration:1200===========\n",
      "SGD:0.2603890959264886\n",
      "Momentum:0.14876309114389158\n",
      "AdaGrad:0.04252280797129253\n",
      "Adam:0.05999020944624128\n",
      "===========iteration:1300===========\n",
      "SGD:0.3261675762129591\n",
      "Momentum:0.17145219857770352\n",
      "AdaGrad:0.1014067102145598\n",
      "Adam:0.15343962713696369\n",
      "===========iteration:1400===========\n",
      "SGD:0.32026643886774103\n",
      "Momentum:0.10123889783427334\n",
      "AdaGrad:0.05473441158804166\n",
      "Adam:0.09062909828276443\n",
      "===========iteration:1500===========\n",
      "SGD:0.35262702375275634\n",
      "Momentum:0.09703304077947351\n",
      "AdaGrad:0.06562780037870072\n",
      "Adam:0.06583879783591631\n",
      "===========iteration:1600===========\n",
      "SGD:0.22817391443471802\n",
      "Momentum:0.0790527556843686\n",
      "AdaGrad:0.012115022373208493\n",
      "Adam:0.030877283439132083\n",
      "===========iteration:1700===========\n",
      "SGD:0.16465490648614634\n",
      "Momentum:0.054366780911613836\n",
      "AdaGrad:0.024969174990763197\n",
      "Adam:0.020732559211413665\n",
      "===========iteration:1800===========\n",
      "SGD:0.1911949658968793\n",
      "Momentum:0.06767681627405997\n",
      "AdaGrad:0.03129612184516268\n",
      "Adam:0.027323600958301025\n",
      "===========iteration:1900===========\n",
      "SGD:0.16743852172611629\n",
      "Momentum:0.094924030221974\n",
      "AdaGrad:0.017319063899735476\n",
      "Adam:0.06651826373591933\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from dataset.mnist import load_mnist\n",
    "from common.util import smooth_curve\n",
    "from common.multi_layer_net import MultiLayerNet\n",
    "from common.optimizer import *\n",
    "\n",
    "\n",
    "# 0:读入MNIST数据==========\n",
    "(x_train, t_train), (x_test, t_test) = load_mnist(normalize=True)\n",
    "\n",
    "train_size = x_train.shape[0]\n",
    "batch_size = 128\n",
    "max_iterations = 2000\n",
    "\n",
    "\n",
    "# 1:进行实验的设置==========\n",
    "optimizers = {}\n",
    "optimizers['SGD'] = SGD()\n",
    "optimizers['Momentum'] = Momentum()\n",
    "optimizers['AdaGrad'] = AdaGrad()\n",
    "optimizers['Adam'] = Adam()\n",
    "#optimizers['RMSprop'] = RMSprop()\n",
    "\n",
    "networks = {}\n",
    "train_loss = {}\n",
    "for key in optimizers.keys():\n",
    "    networks[key] = MultiLayerNet(\n",
    "        input_size=784, hidden_size_list=[100, 100, 100, 100],\n",
    "        output_size=10)\n",
    "    train_loss[key] = []    \n",
    "\n",
    "\n",
    "# 2:开始训练==========\n",
    "for i in range(max_iterations):\n",
    "    batch_mask = np.random.choice(train_size, batch_size)\n",
    "    x_batch = x_train[batch_mask]\n",
    "    t_batch = t_train[batch_mask]\n",
    "    \n",
    "    for key in optimizers.keys():\n",
    "        grads = networks[key].gradient(x_batch, t_batch)\n",
    "        optimizers[key].update(networks[key].params, grads)\n",
    "    \n",
    "        loss = networks[key].loss(x_batch, t_batch)\n",
    "        train_loss[key].append(loss)\n",
    "    \n",
    "    if i % 100 == 0:\n",
    "        print( \"===========\" + \"iteration:\" + str(i) + \"===========\")\n",
    "        for key in optimizers.keys():\n",
    "            loss = networks[key].loss(x_batch, t_batch)\n",
    "            print(key + \":\" + str(loss))\n",
    "\n",
    "\n",
    "# 3.绘制图形==========\n",
    "markers = {\"SGD\": \"o\", \"Momentum\": \"x\", \"AdaGrad\": \"s\", \"Adam\": \"D\"}\n",
    "x = np.arange(max_iterations)\n",
    "for key in optimizers.keys():\n",
    "    plt.plot(x, smooth_curve(train_loss[key]), marker=markers[key], markevery=100, label=key)\n",
    "plt.xlabel(\"iterations\")\n",
    "plt.ylabel(\"loss\")\n",
    "plt.ylim(0, 1)\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上图中可以发现，三种优化算法都比SGD收敛的速度更快。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 二、权重的初始值\n",
    "\n",
    "在神经网络的学习中，权重的初始值特别重要。实际上，设定什么样的权重初始值，经常关系到神经网络的学习能否成功。\n",
    "\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1权重初始值不可为0\n",
    "\n",
    "不能将权重初始值设为0。\n",
    "\n",
    "【解释】：初始权重为0，输出值全部为零"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.2中间层的激活值分布\n",
    "\n",
    "中间层的激活值：激活函数的输出数据。\n",
    "\n",
    "权重的初始值设置会直接影响到中间层的激活函数输出值。这个输出值有什么用呢？做完下面这个实验，根据实验结果进行分析。\n",
    "\n",
    "【实验】：对一个五层神经网络的五个中间层的激活函数输出值建立直方图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-04-08T19:23:23.806420Z",
     "start_time": "2023-04-08T19:23:23.161290Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "    网络结构：100 100 100 100 100\n",
    "    激活函数：sigmoid\n",
    "    输入数据：标准正态分布生成1000条数据\n",
    "    activations：保存各层激活值\n",
    "'''\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "def sigmoid(X):\n",
    "    return 1/(1+np.exp(-X))\n",
    "\n",
    "\n",
    "# 输入数据(1000条size为100的数据)\n",
    "X = np.random.randn(1000, 100)\n",
    "# 各层神经元数量\n",
    "node_num = 100\n",
    "# 中间层层数\n",
    "hidden_layer_num = 5\n",
    "# 保存激活值\n",
    "activations = {}\n",
    "\n",
    "for i in range(hidden_layer_num):\n",
    "    # 生成权重\n",
    "    W = np.random.randn(node_num, node_num)*1 #标准差为1的正态分布\n",
    "    # 计算Affine，并更新X\n",
    "    X = sigmoid(np.dot(X, W))\n",
    "    # 保存结果\n",
    "    activations[i] = X\n",
    "\n",
    "# 绘制直方图\n",
    "for i, v in activations.items():\n",
    "    plt.subplot(1, hidden_layer_num, i+1)\n",
    "    plt.title(str(i+1)+'-layer')\n",
    "    plt.hist(v.flatten(), 30, range=(0, 1))\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从上图可以看出，每一层的输出值分布在0和1附近的占比是很高的，根据sigmoid函数图像：\n",
    "\n",
    "![image-20230408173037905](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230408173037905.png)\n",
    "\n",
    "\n",
    "得知：输出值偏向于0和1，那么输入值就是越往两端靠，对应的导数值就越偏向于0。按上面的例子来说，一共1000*100=100000个sigmoid输出值，在0和1附近的就有70000多个，从而反向传播求sigmoid梯度的时候，对应的就有70000多个梯度极小，非常接近于0（详细的可以看Sigmoid层反向传播的计算图，梯度=$y^2e^{-x}$）。等于说每经过一个sigmoid层，**反向传播**时70000条数据就要乘一次极小的梯度，随着网络层数的加深，数据乘极小梯度的次数会越来越多，导致**越靠近输入层，其乘上极小的梯度数量就越多**，最终就会趋向于0，从而导致这些个极小梯度处神经网络几乎不更新。这就是**梯度消失**，概括起来就是：<b><u>当神经网络层数增多时，越靠近输入层的层之间的权重无法得到有效修正（导数趋于0），从而得到神经网络效果不好</u></b>。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "【实验】：如果将标准差设为0.01，进行与上述相同的实验，再次查看结果。\n",
    "\n",
    "只需做如下修改：\n",
    "\n",
    "```py\n",
    "W = np.random.randn(node_num, node_num)*0.01 #标准差为0.01的正态分布\n",
    "```\n",
    "\n",
    "![image-20230408194602220](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230408194602220.png)\n",
    "\n",
    "上图的结果与之前相比，输出的数据集中分布在0.5左右，因此不会发生梯度消失。\n",
    "\n",
    "但是不是意味着这样的数据就是好的呢？\n",
    "\n",
    "答案是否定的。数据值有所偏向（即：输出值都分布在某一个或几个值附近，其他地方很少或几乎没有），即多个神经元输出的内容差不多，那么其存在就没有意义了，多个神经元只用一个就可以了。这种现象被称为**表现力受限**。\n",
    "\n",
    ">各层的激活值的分布都要求有适当的广度。为什么呢？因为通过在各层间传递多样性的数据，神经网络可以进行高效的学习。反过来，如果传递的是有所偏向的数据，就会出现梯度消失或者“表现力受限”的问题，导致学习可能无法顺利进行。\n",
    "\n",
    "根据上面的两个实验可以发现：各层激活值的广度是很重要的。那应该如何控制激活值的广度？\n",
    "\n",
    "这里运用一个现成的结论：**<u>如果前一层的节点数为n，则初始值使用标准差为$\\frac{1}{\\sqrt{n}}$的分布。</u>**\n",
    "\n",
    "![image-20230408193318075](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230408193318075.png)\n",
    "\n",
    "现在看看使用了该方法后的效果，代码中只需要修改为：\n",
    "\n",
    "```py\n",
    "W = np.random.randn(node_num, node_num) / np.sqrt(node_num)\n",
    "```\n",
    "\n",
    "![image-20230408194707930](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230408194707930.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.3ReLU的权重初始值\n",
    "\n",
    "当激活函数使用ReLU时，一般推荐使用ReLU专用的初始值。当前一层的节点数为$n$时，He初始值使用标准差为$\\sqrt{\\frac{2}{n}}$的正态分布。Xavier初始值是$\\sqrt{\\frac{1}{n}}$，这两个初始值可以简单的理解为：数据经过ReLU激活函数在负轴端的输出始终是0，所以这就会导致很大一批数据的输出是相同的。为了增加输出的广度，又因为输入具有随机性不可控，只能从权重的初始值入手，正态分布的标准差决定了概率密度函数的陡峭程度，即权重取值的广度，所以He初始值要比Xavier多一倍。（非专业性的解释，看看就行，理解的不对欢迎指正）\n",
    "\n",
    "下图是ReLU激活函数在三种初始值下的激活值分布：\n",
    "\n",
    "![image-20230409102710616](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230409102710616.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "（1）标准差为0.01的正态分布：神经网络上传递的是非常小的值，说明逆向传播时权重的梯度也同样很小。这是很严重的问题，实际上学习基本上没有进展。\n",
    "\n",
    "（2）Xavier：随着层的加深，偏向一点点变大。实际上，层加深后，越来越往0偏，激活值的偏向变大，学习时会出现梯度消失的问题。\n",
    "\n",
    "（3）He：各层中分布的广度相同。由于即便层加深，数据的广度也能保持不变，因此逆向传播时，也会传递合适的值。\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.4总结\n",
    "\n",
    "（1）当激活函数使用**ReLU**时，权重初始值使用**He初始值**\n",
    "\n",
    "（2）当激活函数为**sigmoid或tanh**等**S型曲线函数**时，初始值使用**Xavier**初始值。\n",
    "\n",
    "这是目前的最佳实践。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 三、Batch Normalization\n",
    "\n",
    "之前讲过，各层的激活值分布会影响学习的效果，为了使激活值具备一定广度，之前是采用调整权重初始值的方法。有没有更直接一点的方法呢？\n",
    "\n",
    "有，直接对激活值动手，提出了Batch Normalization算法。通过直接改变激活值的分布，从而使激活值具备一定广度。\n",
    "\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1 Batch Normalization\n",
    "\n",
    "在使用的过程中，Batch Normalization也是想ReLU，Affine等层作为层一样使用的。\n",
    "\n",
    "![image-20230409171652215](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230409171652303.png)\n",
    "\n",
    "**Batch Normalization：以进行学习时的mini-batch为单位，按mini-batch进行正规化。具体而言，就是进行使数据分布的均值为0、方差为1的正规化。** 数学式表示如下：\n",
    "\n",
    "![image-20230409172220921](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230409172220921.png)\n",
    "\n",
    "这里对mini-batch的$m$个输入数据的集合B = ${x_1, x_2, ... , x_m}$求均值$\\mu_B$和方差$\\sigma_B^2$。然后，对输入数据进行均值为0、方差为1（合适的分布）的正规化。\n",
    "\n",
    "上面的式子所做的是将mini-batch的输入数据${x_1, x_2, ... , x_m}$变换为均值为0、方差为1的数据 ，非常简单。通过这个处理插入到激活函数的前面（或者后面），可以减小数据分布的偏向。但是，研究表明，在激活函数之前应用它效果最佳。\n",
    "\n",
    "接着，Batch Norm层会对正规化后的数据进行缩放和平移的变换，用数学式可以如下表示：\n",
    "\n",
    "![image-20230409174227451](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230409174227451.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里，$γ$和$β$是参数。一开始$γ = 1,β = 0$，然后再通过学习调整到合适的值。\n",
    "\n",
    "Batch Normalization层的计算图表示如下：\n",
    "\n",
    "![image-20230409174524603](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230409174524603.png)\n",
    "\n",
    "有了计算图，用代码实现Batch Noarmalization层就很容易了："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "incomplete input (1005883615.py, line 7)",
     "output_type": "error",
     "traceback": [
      "\u001b[1;36m  Cell \u001b[1;32mIn[20], line 7\u001b[1;36m\u001b[0m\n\u001b[1;33m    \u001b[0m\n\u001b[1;37m    ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m incomplete input\n"
     ]
    }
   ],
   "source": [
    "class BatchNormalization:\n",
    "    def __init__(self) -> None:\n",
    "        pass\n",
    "    \n",
    "    # 定义私有函数\n",
    "    def __forward(self,x):\n",
    "        "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 四、正则化\n",
    "\n",
    "机器学习的问题中，过拟合是一个很常见的问题。过拟合指的是只能拟合训练数据，但不能很好地拟合不包含在训练数据中的其他数据的状态。我们可以制作复杂的、表现力强的模型，但是相应地，抑制过拟合的技巧也很重要。\n",
    "\n",
    "## 4.1过拟合\n",
    "\n",
    "发生过拟合的原因，主要有以下三个：\n",
    "\n",
    "- 模型拥有大量参数、表现力强。\n",
    "- 训练数据少。\n",
    "- 权重过大。\n",
    "\n",
    "这里，我们故意满足这两个条件，制造过拟合现象。为此，要从MNIST数据集原本的60000个训练数据中只选定300个，并且，为了增加网络的复杂度，使用7层网络。训练和测试的代码就不详细解释了，和之前几乎没什么区别，就是改一下训练数据的条数。\n",
    "\n",
    "得到训练和测试的结果如下图，图中可以看出，训练数据的精确度很高，而测试数据的精确度却很低，确实发生了过拟合现象。\n",
    "\n",
    "![image-20230410112531208](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230410112531208.png)\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 4.2权值衰减（限制权重取值范围以减小模型大小）\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "权值衰减是一直以来经常被使用的一种抑制过拟合的方法。该方法通过在学习的过程中**对大的权重进行惩罚**，来抑制过拟合。很多过拟合原本就是因为**权重参数取值过大才发生的**（较大的权重会导致模型复杂度增加，而减少模型的泛化能力）。\n",
    "\n",
    "![image-20240716162421197](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20240716162421197.png)\n",
    "\n",
    "神经网络的学习目的是减小损失函数的值，此时如果损失函数后面再加一个正值，那么要使加之后的损失值尽可能的小，就要付出更大的代价，即：不光要使原来的损失值足够小，还要使加上去的正值也足够小。往往这个加上去的正值被称为L2正则项$\\frac{1}{2}\\lambda W^2=\\frac{1}{2}\\lambda (w_1^2+w_2^2+...+w_n^2)$，其中$W=(w_1,w_2,...,w_n)$，λ是控制正则化强度的超参数。如果能使L2正则项足够小，即$\\frac{1}{2}\\lambda W^2$足够小，那么就能够使权重W足够小。之前说了，权重参数如果过大，可能会导致过拟合，所以在损失函数中引入正则化项，在学习的过程中在保证损失函数减小的同时，也能保证权重减小。\n",
    "\n",
    "对于所有权重，权值衰减方法都会为损失函数加上$\\frac{1}{2}\\lambda W^2$。因此，在求权重梯度的计算中，要为之前的误差反向传播法的结果加上正则化项的导数$λW$。\n",
    "\n",
    "引入L2正则项后，损失函数的为：\n",
    "\n",
    "$$\n",
    "    l(W,b) +  \\frac{\\lambda}{2} W^2\n",
    "$$\n",
    "\n",
    "$\\lambda$控制了正则项的重要程度\n",
    "\n",
    "下图是添加L2正则项之后的训练和测试结果，训练和测试的结果差距变小了。这说明过拟合受到了抑制。\n",
    "\n",
    "![image-20230410153426592](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230410153426592.png)\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.3Dropout（丢弃部分节点以减小模型大小）\n",
    "\n",
    "L2正则化的权值衰减方法在某种程度上能够抑制过拟合。但是，如果网络的模型变得很复杂，只用权值衰减就难以应对了。在这种情况下，我们经常会使用Dropout方法。\n",
    "\n",
    "Dropout是一种在学习的过程中**随机删除神经元**的方法。训练时，随机选出隐藏层的神经元，然后将其删除。被删除的神经元不再进行信号的传递。\n",
    "\n",
    "**训练时，每传递一次数据，就会随机选择要删除的神经元。然后，测试时，虽然会传递所有的神经元信号，但是对于各个神经元的输出，要乘上训练时的删除比例后再输出。**\n",
    "\n",
    "**乘删除比例如何理解？** 举例：一个作品需要10个人打分且满分为10分，第一次打分实际只有4个人参加（另外6个人因事缺席），所以4个评委最多加起来总分是40分；第二次10个评委全部到场，总分加起来最多是100分。要比较两次得分的差距，肯定不能直接比，肯定要把第二次的总分*0.4再跟第一次的比。Dropout跟这一个道理，测试的时候是所有神经元都不缺席，训练的时候是会缺几个。\n",
    "\n",
    "\n",
    "Dropout算法总结如下：\n",
    "\n",
    "1. 首先随机（临时）删掉网络中的一些隐藏神经元，一般情况下输入输出神经元保持不变\n",
    "\n",
    "2. 把输入x通过修改后的网络前向传播，删除的神经元不进行前向传播，传给下一层的值是0，然后把得到的损失结果通过修改后的网络反向传播。一小批训练样本执行完这个过程后就按照随机梯度下降法更新没有被删除的神经元对应的参数（w，b）\n",
    "\n",
    "3. 恢复被删掉的神经元，此时被删除的神经元保持原样，而没有被删除的神经元已经有所更新\n",
    "\n",
    "4. 不断重复上述过程1，2，3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Dropout:\n",
    "    \"\"\"\n",
    "    http://arxiv.org/abs/1207.0580\n",
    "    \"\"\"\n",
    "    def __init__(self, dropout_ratio=0.5):\n",
    "        self.dropout_ratio = dropout_ratio\n",
    "        self.mask = None\n",
    "\n",
    "    def forward(self, x, train_flg=True):\n",
    "        if train_flg:\n",
    "            \n",
    "            self.mask = np.random.rand(*x.shape) > self.dropout_ratio\n",
    "            return x * self.mask\n",
    "            '''\n",
    "            drop_num=int(self.dropout_ratio*x.size)\n",
    "            self.mask = np.ones_like(x, dtype=bool)\n",
    "            indices = np.random.choice(x.size, drop_num, replace=False)\n",
    "            np.put(self.mask, indices, False)\n",
    "            print(self.mask)\n",
    "            return x*self.mask\n",
    "            '''\n",
    "        else:\n",
    "            return x * (1.0 - self.dropout_ratio)\n",
    "\n",
    "    def backward(self, dout):\n",
    "        return dout * self.mask"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面注释的地方是我自己改的，因为我感觉按书上的写法有一点不能理解，既然dropout_ratio是删除的神经元的比例，那么每次的删除神经元数量是确定的，而代码中`np.random.rand(*x.shape) > self.dropout_ratio`仅仅把ratio作为一个阈值来决定哪些是被删除的神经元，这就导致删除神经元数量会因为随机数生成的不同而不同。比如，x包含5个元素，随机生成0.11,0.12,0.13,0.14,0.88，设置的dropout_ratio=0.5，此时要删除的神经元个数就是4个；如果下一次生成的随机数为0.11,0.85,0.86,0.87,0.88，设置的dropout_ratio=0.5，此时要删除的神经元个数就是1个。因此，注释中的就是我针对此问题做的修改，把每次要删除的神经元个数确定下来了。最后的效果差不多。\n",
    "\n",
    "书上的结果：\n",
    "\n",
    "![book](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/book.png)\n",
    "\n",
    "我的结果：\n",
    "\n",
    "![me](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/me.png)\n",
    "\n",
    "说了这么多Dropout的原理和实现，**现在讲一讲为什么Dropout能缓解神经网络的过拟合**？\n",
    "\n",
    "在此之前，先看一下什么是集成学习：\n",
    "\n",
    ">所谓集成学习，就是让多个模型单独进行学习，推理时再取多个模型的输出的平均值。用神经网络的语境来说，比如，准备 5个结构相同（或者类似）的网络，分别进行学习，测试时，以这5个网络的输出的平均值作为答案。这个集成学习与 Dropout有密切的关系。这是因为可以将 Dropout理解为，通过在学习过程中随机删除神经元，从而每一次都让不同的模型进行学习。并且，推理时，通过对神经元的输出乘以删除比例（比如，0.5等），可以取得模型的平均值。也就是说，可以理解成，Dropout将集成学习的效果（模拟地）通过一个网络实现了。\n",
    "\n",
    "由学习阶段可知，每次迭代过程中，每一次训练都会按dropout_ratio来随机删除一些神经元，这就意味着在多个\"残缺\"的神经网络中，每次都进行随机的特征选择，这要比仅在单个健全网络上进行特征学习，其泛化能力来得更加健壮。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.4超参数的验证\n",
    "\n",
    "本节将介绍尽可能高效地寻找超参数的值的方法。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.4.1验证数据\n",
    "\n",
    "下面我们要对超参数设置各种各样的值以进行验证。\n",
    "\n",
    "这里要注意的是，不能使用测试数据评估超参数的性能。为什么不能用测试数据评估超参数的性能呢？这是因为如果**使用测试数据调整超参数，超参数的值会对测试数据发生过拟合**。\n",
    "\n",
    "因此，调整超参数时，必须使用超参数专用的确认数据。用于调整超参数的数据，一般称为**验证数据**（validation data）。\n",
    "\n",
    ">训练数据用于参数（权重和偏置）的学习，验证数据用于超参数的性能评估。为了确认泛化能力，要在最后使用（比较理想的是只用一次）测试数据。\n",
    "\n",
    "根据不同的数据集，有的会事先分成训练数据、验证数据、测试数据三部分，有的只分成训练数据和测试数据两部分，有的则不进行分割。在这种情况下，用户需要自行进行分割。\n",
    "\n",
    "如果是MNIST数据集，获得验证数据的最简单的方法就是从**训练数据**中事先分割 **20%** 作为验证数据：\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys,os\n",
    "\n",
    "current_file_path = os.path.dirname(os.path.realpath('__file__'))\n",
    "Demo_path = os.path.join(current_file_path, 'Demo')\n",
    "sys.path.append(Demo_path)\n",
    "\n",
    "from dataset.mnist import load_mnist\n",
    "\n",
    "(x_train, t_train), (x_test, t_test) = load_mnist()\n",
    "\n",
    "from common.util import *\n",
    "\n",
    "# 打乱训练数据\n",
    "x_train, t_train = shuffle_dataset(x_train, t_train)\n",
    "\n",
    "# 分割验证数据\n",
    "validation_rate = 0.20\n",
    "validation_num = int(x_train.shape[0] * validation_rate)\n",
    "\n",
    "# 取前validation_num条数据\n",
    "x_val = x_train[:validation_num]\n",
    "t_val = t_train[:validation_num]\n",
    "x_train = x_train[validation_num:]\n",
    "t_train = t_train[validation_num:]"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.4.2 超参数的最优化（观察法/经验法）\n",
    "\n",
    "最优化的思想：逐步缩小最优解的取值范围，即：**一开始先大致设定一个范围，从这个范围中随机选出一个超参数（采样），用这个采样到的值进行识别精度的评估；然后，多次重复该操作，观察识别精度的结果，根据这个结果缩小范围。**\n",
    "\n",
    "在超参数的最优化中，要注意的是深度学习需要很长时间（比如，几天或几周）。因此，在超参数的搜索中，需要尽早放弃那些不符合逻辑的超参数。于是，在超参数的最优化中，**减少学习的epoch，缩短一次评估所需的时间**是一个不错的办法。\n",
    "\n",
    "概括一下：\n",
    "\n",
    "1. 步骤0：设定超参数的范围。\n",
    "\n",
    "2. 步骤1：从设定的超参数范围中随机采样。\n",
    "\n",
    "3. 步骤2：使用步骤1中采样到的超参数的值进行学习，通过验证数据评估识别精度（但是要将epoch设置得很小）。\n",
    "\n",
    "4. 步骤3：重复步骤1和步骤2（100次等），根据它们的识别精度的结果，缩小超参数的范围。\n",
    "\n",
    ">这里介绍的超参数的最优化方法是实践性的方法。不过，这个方法与其说是科学方法，倒不如说有些实践者的经验的感觉。在超参数的最优化中，如果需要更精炼的方法，可以使用贝叶斯最优\n",
    "化（Bayesian optimization）。贝叶斯最优化运用以贝叶斯定理为中心的数学理论，能够更加严密、高效地进行最优化。详细内容请参 考 论 文“Practical Bayesian Optimization of Machine LearningAlgorithms”等。\n",
    "\n"
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    "### 4.4.3超参数最优化的实现\n",
    "\n",
    "现在，我们使用MNIST数据集进行超参数的最优化。这里我们将**学习率**和**控制权值衰减强度的系数**（下文称为“权值衰减系数”）这两个超参数的搜索问题作为对象。\n",
    "\n",
    "通过从 $0.001(10^{−3})$到 $1000(10^3)$这样的对数尺度的范围中随机采样进行超参数的验证。这在Python中可以写成：\n",
    "\n",
    "```py\n",
    "10 ** np.random.uniform(-3, 3)\n",
    "```\n",
    "\n",
    "在该实验中，权值衰减系数的初始范围为$10^{−8}$到$10^{−4}$，学习率的初始范围为$10^{−6}$到$10^{−2}$。此时，超参数的随机采样的代码如下所示：\n",
    "\n",
    "```py\n",
    "weight_decay = 10 ** np.random.uniform(-8, -4)\n",
    "lr = 10 ** np.random.uniform(-6, -2)\n",
    "```\n",
    "\n",
    "像这样进行随机采样后，再使用那些值进行学习。之后，多次使用各种超参数的值重复进行学习，观察合乎逻辑的超参数在哪里。\n",
    "\n",
    "![image-20230412160334300](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230412160334300.png)\n",
    "\n",
    "上图是按**识别精度从高到低的顺序**排列了验证数据的学习的变化。从图中可知，直到“Best-5”左右，学习进行得都很顺利。因此，我们来观察一下“Best-5”之前的超参数的值（学习率和权值衰减系数），结果如下所示：\n",
    "\n",
    "![image-20230412160455767](https://zyc-learning-1309954661.cos.ap-nanjing.myqcloud.com/machine-learning-pic/image-20230412160455767.png)\n",
    "\n",
    "从这个结果可以看出，学习率在0.001到0.01、权值衰减系数在$10^{−8}$到$10^{−6}$之间时，学习的效果很好，所以缩小超参数至该范围。这样就能缩小到合适的超参数的存在范围，然后在某个阶段，选择一个最终的超参数的值。"
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